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Finding the Fourth Proportional to 7,761.52, 10,711.04 and 4,224.76

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Solution

The fourth proportional to 7,761.52, 10,711.04 and 4,224.76 is: 5,830.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.52 : 10,711.04 = 4,224.76 : x
  2. Step 2: Convert to fraction form
    7,761.52/10,711.04 = 4,224.76/x
  3. Step 3: Cross multiply
    7,761.52x = 10,711.04 × 4,224.76
  4. Step 4: Simplify right side
    7,761.52x = 45,251,525.45
  5. Step 5: Solve for x
    x = 45,251,525.45/7,761.52
  6. Step 6: Final answer
    x = 5,830.24

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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.