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Finding the Fourth Proportional to 7,589.60, 11,378.92 and 5,118.24

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Solution

The fourth proportional to 7,589.60, 11,378.92 and 5,118.24 is: 7,673.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,589.60 : 11,378.92 = 5,118.24 : x
  2. Step 2: Convert to fraction form
    7,589.60/11,378.92 = 5,118.24/x
  3. Step 3: Cross multiply
    7,589.60x = 11,378.92 × 5,118.24
  4. Step 4: Simplify right side
    7,589.60x = 58,240,043.50
  5. Step 5: Solve for x
    x = 58,240,043.50/7,589.60
  6. Step 6: Final answer
    x = 7,673.66

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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.