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Finding the Fourth Proportional to 11,773.71, 16,248.09 and 6,468.63

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Solution

The fourth proportional to 11,773.71, 16,248.09 and 6,468.63 is: 8,926.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773.71 : 16,248.09 = 6,468.63 : x
  2. Step 2: Convert to fraction form
    11,773.71/16,248.09 = 6,468.63/x
  3. Step 3: Cross multiply
    11,773.71x = 16,248.09 × 6,468.63
  4. Step 4: Simplify right side
    11,773.71x = 105,102,882.42
  5. Step 5: Solve for x
    x = 105,102,882.42/11,773.71
  6. Step 6: Final answer
    x = 8,926.91

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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.