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Finding the Fourth Proportional to 10,791.20, 14,874.36 and 7,807.16

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Solution

The fourth proportional to 10,791.20, 14,874.36 and 7,807.16 is: 10,761.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,791.20 : 14,874.36 = 7,807.16 : x
  2. Step 2: Convert to fraction form
    10,791.20/14,874.36 = 7,807.16/x
  3. Step 3: Cross multiply
    10,791.20x = 14,874.36 × 7,807.16
  4. Step 4: Simplify right side
    10,791.20x = 116,126,508.42
  5. Step 5: Solve for x
    x = 116,126,508.42/10,791.20
  6. Step 6: Final answer
    x = 10,761.22

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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.