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Finding the Fourth Proportional to 8,680.68, 11,982.47 and 5,697.18

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Solution

The fourth proportional to 8,680.68, 11,982.47 and 5,697.18 is: 7,864.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,680.68 : 11,982.47 = 5,697.18 : x
  2. Step 2: Convert to fraction form
    8,680.68/11,982.47 = 5,697.18/x
  3. Step 3: Cross multiply
    8,680.68x = 11,982.47 × 5,697.18
  4. Step 4: Simplify right side
    8,680.68x = 68,266,259.95
  5. Step 5: Solve for x
    x = 68,266,259.95/8,680.68
  6. Step 6: Final answer
    x = 7,864.16

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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.