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Finding the Fourth Proportional to 10,725.81, 15,998.28 and 10,397.76

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Solution

The fourth proportional to 10,725.81, 15,998.28 and 10,397.76 is: 15,508.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,725.81 : 15,998.28 = 10,397.76 : x
  2. Step 2: Convert to fraction form
    10,725.81/15,998.28 = 10,397.76/x
  3. Step 3: Cross multiply
    10,725.81x = 15,998.28 × 10,397.76
  4. Step 4: Simplify right side
    10,725.81x = 166,346,275.85
  5. Step 5: Solve for x
    x = 166,346,275.85/10,725.81
  6. Step 6: Final answer
    x = 15,508.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.