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Finding the Fourth Proportional to 7,865.31, 11,851.70 and 6,508.42

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Solution

The fourth proportional to 7,865.31, 11,851.70 and 6,508.42 is: 9,807.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.31 : 11,851.70 = 6,508.42 : x
  2. Step 2: Convert to fraction form
    7,865.31/11,851.70 = 6,508.42/x
  3. Step 3: Cross multiply
    7,865.31x = 11,851.70 × 6,508.42
  4. Step 4: Simplify right side
    7,865.31x = 77,135,841.31
  5. Step 5: Solve for x
    x = 77,135,841.31/7,865.31
  6. Step 6: Final answer
    x = 9,807.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.