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Finding the Fourth Proportional to 6,543.68, 9,031.58 and 3,711.10

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Solution

The fourth proportional to 6,543.68, 9,031.58 and 3,711.10 is: 5,122.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.68 : 9,031.58 = 3,711.10 : x
  2. Step 2: Convert to fraction form
    6,543.68/9,031.58 = 3,711.10/x
  3. Step 3: Cross multiply
    6,543.68x = 9,031.58 × 3,711.10
  4. Step 4: Simplify right side
    6,543.68x = 33,517,096.54
  5. Step 5: Solve for x
    x = 33,517,096.54/6,543.68
  6. Step 6: Final answer
    x = 5,122.06

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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.