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Finding the Fourth Proportional to 8,781.30, 13,161.24 and 6,278.76

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Solution

The fourth proportional to 8,781.30, 13,161.24 and 6,278.76 is: 9,410.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,781.30 : 13,161.24 = 6,278.76 : x
  2. Step 2: Convert to fraction form
    8,781.30/13,161.24 = 6,278.76/x
  3. Step 3: Cross multiply
    8,781.30x = 13,161.24 × 6,278.76
  4. Step 4: Simplify right side
    8,781.30x = 82,636,267.26
  5. Step 5: Solve for x
    x = 82,636,267.26/8,781.30
  6. Step 6: Final answer
    x = 9,410.48

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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.