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Finding the Fourth Proportional to 7,711.47, 11,543.61 and 4,940.81

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Solution

The fourth proportional to 7,711.47, 11,543.61 and 4,940.81 is: 7,396.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.47 : 11,543.61 = 4,940.81 : x
  2. Step 2: Convert to fraction form
    7,711.47/11,543.61 = 4,940.81/x
  3. Step 3: Cross multiply
    7,711.47x = 11,543.61 × 4,940.81
  4. Step 4: Simplify right side
    7,711.47x = 57,034,759.02
  5. Step 5: Solve for x
    x = 57,034,759.02/7,711.47
  6. Step 6: Final answer
    x = 7,396.10

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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.