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Finding the Fourth Proportional to 10,452.86, 15,665.37 and 9,059.70

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Solution

The fourth proportional to 10,452.86, 15,665.37 and 9,059.70 is: 13,577.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.86 : 15,665.37 = 9,059.70 : x
  2. Step 2: Convert to fraction form
    10,452.86/15,665.37 = 9,059.70/x
  3. Step 3: Cross multiply
    10,452.86x = 15,665.37 × 9,059.70
  4. Step 4: Simplify right side
    10,452.86x = 141,923,552.59
  5. Step 5: Solve for x
    x = 141,923,552.59/10,452.86
  6. Step 6: Final answer
    x = 13,577.49

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