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Finding the Fourth Proportional to 7,543.64, 10,403.41 and 4,711.27

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Solution

The fourth proportional to 7,543.64, 10,403.41 and 4,711.27 is: 6,497.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,543.64 : 10,403.41 = 4,711.27 : x
  2. Step 2: Convert to fraction form
    7,543.64/10,403.41 = 4,711.27/x
  3. Step 3: Cross multiply
    7,543.64x = 10,403.41 × 4,711.27
  4. Step 4: Simplify right side
    7,543.64x = 49,013,283.49
  5. Step 5: Solve for x
    x = 49,013,283.49/7,543.64
  6. Step 6: Final answer
    x = 6,497.30

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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.