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Finding the Fourth Proportional to 11,966.34, 16,515.10 and 6,863.85

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Solution

The fourth proportional to 11,966.34, 16,515.10 and 6,863.85 is: 9,472.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,966.34 : 16,515.10 = 6,863.85 : x
  2. Step 2: Convert to fraction form
    11,966.34/16,515.10 = 6,863.85/x
  3. Step 3: Cross multiply
    11,966.34x = 16,515.10 × 6,863.85
  4. Step 4: Simplify right side
    11,966.34x = 113,357,052.24
  5. Step 5: Solve for x
    x = 113,357,052.24/11,966.34
  6. Step 6: Final answer
    x = 9,472.99

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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.