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Finding the Fourth Proportional to 10,569.08, 15,856 and 5,636.12

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Solution

The fourth proportional to 10,569.08, 15,856 and 5,636.12 is: 8,455.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,569.08 : 15,856 = 5,636.12 : x
  2. Step 2: Convert to fraction form
    10,569.08/15,856 = 5,636.12/x
  3. Step 3: Cross multiply
    10,569.08x = 15,856 × 5,636.12
  4. Step 4: Simplify right side
    10,569.08x = 89,366,318.72
  5. Step 5: Solve for x
    x = 89,366,318.72/10,569.08
  6. Step 6: Final answer
    x = 8,455.45

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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.