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Finding the Fourth Proportional to 10,481.86, 14,464.85 and 5,766.14

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Solution

The fourth proportional to 10,481.86, 14,464.85 and 5,766.14 is: 7,957.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,481.86 : 14,464.85 = 5,766.14 : x
  2. Step 2: Convert to fraction form
    10,481.86/14,464.85 = 5,766.14/x
  3. Step 3: Cross multiply
    10,481.86x = 14,464.85 × 5,766.14
  4. Step 4: Simplify right side
    10,481.86x = 83,406,350.18
  5. Step 5: Solve for x
    x = 83,406,350.18/10,481.86
  6. Step 6: Final answer
    x = 7,957.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.