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Finding the Fourth Proportional to 7,127.67, 10,683.54 and 2,966.30

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Solution

The fourth proportional to 7,127.67, 10,683.54 and 2,966.30 is: 4,446.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,127.67 : 10,683.54 = 2,966.30 : x
  2. Step 2: Convert to fraction form
    7,127.67/10,683.54 = 2,966.30/x
  3. Step 3: Cross multiply
    7,127.67x = 10,683.54 × 2,966.30
  4. Step 4: Simplify right side
    7,127.67x = 31,690,531.28
  5. Step 5: Solve for x
    x = 31,690,531.28/7,127.67
  6. Step 6: Final answer
    x = 4,446.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.