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Finding the Fourth Proportional to 7,966.48, 10,989.18 and 6,614.44

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Solution

The fourth proportional to 7,966.48, 10,989.18 and 6,614.44 is: 9,124.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.48 : 10,989.18 = 6,614.44 : x
  2. Step 2: Convert to fraction form
    7,966.48/10,989.18 = 6,614.44/x
  3. Step 3: Cross multiply
    7,966.48x = 10,989.18 × 6,614.44
  4. Step 4: Simplify right side
    7,966.48x = 72,687,271.76
  5. Step 5: Solve for x
    x = 72,687,271.76/7,966.48
  6. Step 6: Final answer
    x = 9,124.14

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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.