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Finding the Fourth Proportional to 10,299.59, 15,435.86 and 5,859.29

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Solution

The fourth proportional to 10,299.59, 15,435.86 and 5,859.29 is: 8,781.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299.59 : 15,435.86 = 5,859.29 : x
  2. Step 2: Convert to fraction form
    10,299.59/15,435.86 = 5,859.29/x
  3. Step 3: Cross multiply
    10,299.59x = 15,435.86 × 5,859.29
  4. Step 4: Simplify right side
    10,299.59x = 90,443,180.14
  5. Step 5: Solve for x
    x = 90,443,180.14/10,299.59
  6. Step 6: Final answer
    x = 8,781.24

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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.