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Finding the Fourth Proportional to 11,689.76, 16,132.02 and 6,384.62

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Solution

The fourth proportional to 11,689.76, 16,132.02 and 6,384.62 is: 8,810.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,689.76 : 16,132.02 = 6,384.62 : x
  2. Step 2: Convert to fraction form
    11,689.76/16,132.02 = 6,384.62/x
  3. Step 3: Cross multiply
    11,689.76x = 16,132.02 × 6,384.62
  4. Step 4: Simplify right side
    11,689.76x = 102,996,817.53
  5. Step 5: Solve for x
    x = 102,996,817.53/11,689.76
  6. Step 6: Final answer
    x = 8,810.86

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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.