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Finding the Fourth Proportional to 8,778.24, 12,108.96 and 7,732.80

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Solution

The fourth proportional to 8,778.24, 12,108.96 and 7,732.80 is: 10,666.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,778.24 : 12,108.96 = 7,732.80 : x
  2. Step 2: Convert to fraction form
    8,778.24/12,108.96 = 7,732.80/x
  3. Step 3: Cross multiply
    8,778.24x = 12,108.96 × 7,732.80
  4. Step 4: Simplify right side
    8,778.24x = 93,636,165.89
  5. Step 5: Solve for x
    x = 93,636,165.89/8,778.24
  6. Step 6: Final answer
    x = 10,666.85

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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.