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Finding the Fourth Proportional to 10,615.31, 14,648.78 and 6,139.25

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Solution

The fourth proportional to 10,615.31, 14,648.78 and 6,139.25 is: 8,471.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.31 : 14,648.78 = 6,139.25 : x
  2. Step 2: Convert to fraction form
    10,615.31/14,648.78 = 6,139.25/x
  3. Step 3: Cross multiply
    10,615.31x = 14,648.78 × 6,139.25
  4. Step 4: Simplify right side
    10,615.31x = 89,932,418.67
  5. Step 5: Solve for x
    x = 89,932,418.67/10,615.31
  6. Step 6: Final answer
    x = 8,471.96

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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.