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Finding the Fourth Proportional to 10,831.14, 14,953.68 and 8,308.44

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Solution

The fourth proportional to 10,831.14, 14,953.68 and 8,308.44 is: 11,470.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,831.14 : 14,953.68 = 8,308.44 : x
  2. Step 2: Convert to fraction form
    10,831.14/14,953.68 = 8,308.44/x
  3. Step 3: Cross multiply
    10,831.14x = 14,953.68 × 8,308.44
  4. Step 4: Simplify right side
    10,831.14x = 124,241,753.06
  5. Step 5: Solve for x
    x = 124,241,753.06/10,831.14
  6. Step 6: Final answer
    x = 11,470.79

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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.