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Finding the Fourth Proportional to 10,265.59, 15,404.16 and 5,585.94

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Solution

The fourth proportional to 10,265.59, 15,404.16 and 5,585.94 is: 8,382.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,265.59 : 15,404.16 = 5,585.94 : x
  2. Step 2: Convert to fraction form
    10,265.59/15,404.16 = 5,585.94/x
  3. Step 3: Cross multiply
    10,265.59x = 15,404.16 × 5,585.94
  4. Step 4: Simplify right side
    10,265.59x = 86,046,713.51
  5. Step 5: Solve for x
    x = 86,046,713.51/10,265.59
  6. Step 6: Final answer
    x = 8,382.05

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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.