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Finding the Fourth Proportional to 10,562.88, 15,829.20 and 5,936.16

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Solution

The fourth proportional to 10,562.88, 15,829.20 and 5,936.16 is: 8,895.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,562.88 : 15,829.20 = 5,936.16 : x
  2. Step 2: Convert to fraction form
    10,562.88/15,829.20 = 5,936.16/x
  3. Step 3: Cross multiply
    10,562.88x = 15,829.20 × 5,936.16
  4. Step 4: Simplify right side
    10,562.88x = 93,964,663.87
  5. Step 5: Solve for x
    x = 93,964,663.87/10,562.88
  6. Step 6: Final answer
    x = 8,895.74

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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.