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Finding the Fourth Proportional to 7,864.02, 11,781.45 and 6,989.22

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Solution

The fourth proportional to 7,864.02, 11,781.45 and 6,989.22 is: 10,470.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.02 : 11,781.45 = 6,989.22 : x
  2. Step 2: Convert to fraction form
    7,864.02/11,781.45 = 6,989.22/x
  3. Step 3: Cross multiply
    7,864.02x = 11,781.45 × 6,989.22
  4. Step 4: Simplify right side
    7,864.02x = 82,343,145.97
  5. Step 5: Solve for x
    x = 82,343,145.97/7,864.02
  6. Step 6: Final answer
    x = 10,470.87

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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.