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Finding the Fourth Proportional to 10,469.59, 14,447.87 and 5,753.77

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Solution

The fourth proportional to 10,469.59, 14,447.87 and 5,753.77 is: 7,940.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.59 : 14,447.87 = 5,753.77 : x
  2. Step 2: Convert to fraction form
    10,469.59/14,447.87 = 5,753.77/x
  3. Step 3: Cross multiply
    10,469.59x = 14,447.87 × 5,753.77
  4. Step 4: Simplify right side
    10,469.59x = 83,129,677.66
  5. Step 5: Solve for x
    x = 83,129,677.66/10,469.59
  6. Step 6: Final answer
    x = 7,940.11

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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.