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Finding the Fourth Proportional to 11,424.50, 15,766.56 and 6,948.44

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Solution

The fourth proportional to 11,424.50, 15,766.56 and 6,948.44 is: 9,589.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,424.50 : 15,766.56 = 6,948.44 : x
  2. Step 2: Convert to fraction form
    11,424.50/15,766.56 = 6,948.44/x
  3. Step 3: Cross multiply
    11,424.50x = 15,766.56 × 6,948.44
  4. Step 4: Simplify right side
    11,424.50x = 109,552,996.17
  5. Step 5: Solve for x
    x = 109,552,996.17/11,424.50
  6. Step 6: Final answer
    x = 9,589.30

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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.