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Finding the Fourth Proportional to 10,917.60, 16,380.72 and 7,219.04

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Solution

The fourth proportional to 10,917.60, 16,380.72 and 7,219.04 is: 10,831.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,917.60 : 16,380.72 = 7,219.04 : x
  2. Step 2: Convert to fraction form
    10,917.60/16,380.72 = 7,219.04/x
  3. Step 3: Cross multiply
    10,917.60x = 16,380.72 × 7,219.04
  4. Step 4: Simplify right side
    10,917.60x = 118,253,072.91
  5. Step 5: Solve for x
    x = 118,253,072.91/10,917.60
  6. Step 6: Final answer
    x = 10,831.42

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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.