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Finding the Fourth Proportional to 8,042.46, 12,082.22 and 7,710.31

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Solution

The fourth proportional to 8,042.46, 12,082.22 and 7,710.31 is: 11,583.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,042.46 : 12,082.22 = 7,710.31 : x
  2. Step 2: Convert to fraction form
    8,042.46/12,082.22 = 7,710.31/x
  3. Step 3: Cross multiply
    8,042.46x = 12,082.22 × 7,710.31
  4. Step 4: Simplify right side
    8,042.46x = 93,157,661.69
  5. Step 5: Solve for x
    x = 93,157,661.69/8,042.46
  6. Step 6: Final answer
    x = 11,583.23

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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.