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Finding the Fourth Proportional to 8,379.12, 12,542.70 and 7,761.30

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Solution

The fourth proportional to 8,379.12, 12,542.70 and 7,761.30 is: 11,617.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,379.12 : 12,542.70 = 7,761.30 : x
  2. Step 2: Convert to fraction form
    8,379.12/12,542.70 = 7,761.30/x
  3. Step 3: Cross multiply
    8,379.12x = 12,542.70 × 7,761.30
  4. Step 4: Simplify right side
    8,379.12x = 97,347,657.51
  5. Step 5: Solve for x
    x = 97,347,657.51/8,379.12
  6. Step 6: Final answer
    x = 11,617.89

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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.