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Finding the Fourth Proportional to 10,839.96, 14,959.31 and 6,648.21

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Solution

The fourth proportional to 10,839.96, 14,959.31 and 6,648.21 is: 9,174.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,839.96 : 14,959.31 = 6,648.21 : x
  2. Step 2: Convert to fraction form
    10,839.96/14,959.31 = 6,648.21/x
  3. Step 3: Cross multiply
    10,839.96x = 14,959.31 × 6,648.21
  4. Step 4: Simplify right side
    10,839.96x = 99,452,601.09
  5. Step 5: Solve for x
    x = 99,452,601.09/10,839.96
  6. Step 6: Final answer
    x = 9,174.63

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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.