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Finding the Fourth Proportional to 7,718,584.80, 11,578,359.54 and 2,600,589.26

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Solution

The fourth proportional to 7,718,584.80, 11,578,359.54 and 2,600,589.26 is: 3,901,046.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,718,584.80 : 11,578,359.54 = 2,600,589.26 : x
  2. Step 2: Convert to fraction form
    7,718,584.80/11,578,359.54 = 2,600,589.26/x
  3. Step 3: Cross multiply
    7,718,584.80x = 11,578,359.54 × 2,600,589.26
  4. Step 4: Simplify right side
    7,718,584.80x = 30,110,557,468,142.54
  5. Step 5: Solve for x
    x = 30,110,557,468,142.54/7,718,584.80
  6. Step 6: Final answer
    x = 3,901,046.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.