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Finding the Fourth Proportional to 11,966.59, 16,517.53 and 6,932.06

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Solution

The fourth proportional to 11,966.59, 16,517.53 and 6,932.06 is: 9,568.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,966.59 : 16,517.53 = 6,932.06 : x
  2. Step 2: Convert to fraction form
    11,966.59/16,517.53 = 6,932.06/x
  3. Step 3: Cross multiply
    11,966.59x = 16,517.53 × 6,932.06
  4. Step 4: Simplify right side
    11,966.59x = 114,500,509.01
  5. Step 5: Solve for x
    x = 114,500,509.01/11,966.59
  6. Step 6: Final answer
    x = 9,568.35

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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.