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Finding the Fourth Proportional to 8,242.62, 12,353.00 and 7,141.83

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Solution

The fourth proportional to 8,242.62, 12,353.00 and 7,141.83 is: 10,703.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.62 : 12,353.00 = 7,141.83 : x
  2. Step 2: Convert to fraction form
    8,242.62/12,353.00 = 7,141.83/x
  3. Step 3: Cross multiply
    8,242.62x = 12,353.00 × 7,141.83
  4. Step 4: Simplify right side
    8,242.62x = 88,222,990.28
  5. Step 5: Solve for x
    x = 88,222,990.28/8,242.62
  6. Step 6: Final answer
    x = 10,703.27

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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.