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Finding the Fourth Proportional to 11,778.29, 16,253.85 and 6,472.99

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Solution

The fourth proportional to 11,778.29, 16,253.85 and 6,472.99 is: 8,932.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.29 : 16,253.85 = 6,472.99 : x
  2. Step 2: Convert to fraction form
    11,778.29/16,253.85 = 6,472.99/x
  3. Step 3: Cross multiply
    11,778.29x = 16,253.85 × 6,472.99
  4. Step 4: Simplify right side
    11,778.29x = 105,210,998.29
  5. Step 5: Solve for x
    x = 105,210,998.29/11,778.29
  6. Step 6: Final answer
    x = 8,932.62

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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.