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Finding the Fourth Proportional to 8,831.92, 12,178.72 and 7,414.63

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Solution

The fourth proportional to 8,831.92, 12,178.72 and 7,414.63 is: 10,224.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,831.92 : 12,178.72 = 7,414.63 : x
  2. Step 2: Convert to fraction form
    8,831.92/12,178.72 = 7,414.63/x
  3. Step 3: Cross multiply
    8,831.92x = 12,178.72 × 7,414.63
  4. Step 4: Simplify right side
    8,831.92x = 90,300,702.67
  5. Step 5: Solve for x
    x = 90,300,702.67/8,831.92
  6. Step 6: Final answer
    x = 10,224.36

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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.