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Finding the Fourth Proportional to 8,116.30, 12,174.45 and 2,920.30

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Solution

The fourth proportional to 8,116.30, 12,174.45 and 2,920.30 is: 4,380.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,116.30 : 12,174.45 = 2,920.30 : x
  2. Step 2: Convert to fraction form
    8,116.30/12,174.45 = 2,920.30/x
  3. Step 3: Cross multiply
    8,116.30x = 12,174.45 × 2,920.30
  4. Step 4: Simplify right side
    8,116.30x = 35,553,046.34
  5. Step 5: Solve for x
    x = 35,553,046.34/8,116.30
  6. Step 6: Final answer
    x = 4,380.45

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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.