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Finding the Fourth Proportional to 11,864.66, 16,372.95 and 6,486.87

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Solution

The fourth proportional to 11,864.66, 16,372.95 and 6,486.87 is: 8,951.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,864.66 : 16,372.95 = 6,486.87 : x
  2. Step 2: Convert to fraction form
    11,864.66/16,372.95 = 6,486.87/x
  3. Step 3: Cross multiply
    11,864.66x = 16,372.95 × 6,486.87
  4. Step 4: Simplify right side
    11,864.66x = 106,209,198.17
  5. Step 5: Solve for x
    x = 106,209,198.17/11,864.66
  6. Step 6: Final answer
    x = 8,951.73

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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.