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Finding the Fourth Proportional to 10,540.96, 15,788.14 and 6,831.97

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Solution

The fourth proportional to 10,540.96, 15,788.14 and 6,831.97 is: 10,232.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,540.96 : 15,788.14 = 6,831.97 : x
  2. Step 2: Convert to fraction form
    10,540.96/15,788.14 = 6,831.97/x
  3. Step 3: Cross multiply
    10,540.96x = 15,788.14 × 6,831.97
  4. Step 4: Simplify right side
    10,540.96x = 107,864,098.84
  5. Step 5: Solve for x
    x = 107,864,098.84/10,540.96
  6. Step 6: Final answer
    x = 10,232.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.