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Finding the Fourth Proportional to 8,930.86, 13,356.87 and 5,411.14

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Solution

The fourth proportional to 8,930.86, 13,356.87 and 5,411.14 is: 8,092.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,930.86 : 13,356.87 = 5,411.14 : x
  2. Step 2: Convert to fraction form
    8,930.86/13,356.87 = 5,411.14/x
  3. Step 3: Cross multiply
    8,930.86x = 13,356.87 × 5,411.14
  4. Step 4: Simplify right side
    8,930.86x = 72,275,893.53
  5. Step 5: Solve for x
    x = 72,275,893.53/8,930.86
  6. Step 6: Final answer
    x = 8,092.83

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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.