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Finding the Fourth Proportional to 7,761.92, 10,711.24 and 4,225.05

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Solution

The fourth proportional to 7,761.92, 10,711.24 and 4,225.05 is: 5,830.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.92 : 10,711.24 = 4,225.05 : x
  2. Step 2: Convert to fraction form
    7,761.92/10,711.24 = 4,225.05/x
  3. Step 3: Cross multiply
    7,761.92x = 10,711.24 × 4,225.05
  4. Step 4: Simplify right side
    7,761.92x = 45,255,514.00
  5. Step 5: Solve for x
    x = 45,255,514.00/7,761.92
  6. Step 6: Final answer
    x = 5,830.46

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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.