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Finding the Fourth Proportional to 10,897.96, 15,039.54 and 6,182.44

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Solution

The fourth proportional to 10,897.96, 15,039.54 and 6,182.44 is: 8,531.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,897.96 : 15,039.54 = 6,182.44 : x
  2. Step 2: Convert to fraction form
    10,897.96/15,039.54 = 6,182.44/x
  3. Step 3: Cross multiply
    10,897.96x = 15,039.54 × 6,182.44
  4. Step 4: Simplify right side
    10,897.96x = 92,981,053.68
  5. Step 5: Solve for x
    x = 92,981,053.68/10,897.96
  6. Step 6: Final answer
    x = 8,531.97

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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.