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Finding the Fourth Proportional to 7,063, 10,589.82 and 3,365.80

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Solution

The fourth proportional to 7,063, 10,589.82 and 3,365.80 is: 5,046.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,063 : 10,589.82 = 3,365.80 : x
  2. Step 2: Convert to fraction form
    7,063/10,589.82 = 3,365.80/x
  3. Step 3: Cross multiply
    7,063x = 10,589.82 × 3,365.80
  4. Step 4: Simplify right side
    7,063x = 35,643,216.16
  5. Step 5: Solve for x
    x = 35,643,216.16/7,063
  6. Step 6: Final answer
    x = 5,046.47

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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.