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Finding the Fourth Proportional to 10,902.20, 16,356.94 and 7,218.92

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Solution

The fourth proportional to 10,902.20, 16,356.94 and 7,218.92 is: 10,830.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.20 : 16,356.94 = 7,218.92 : x
  2. Step 2: Convert to fraction form
    10,902.20/16,356.94 = 7,218.92/x
  3. Step 3: Cross multiply
    10,902.20x = 16,356.94 × 7,218.92
  4. Step 4: Simplify right side
    10,902.20x = 118,079,464.15
  5. Step 5: Solve for x
    x = 118,079,464.15/10,902.20
  6. Step 6: Final answer
    x = 10,830.80

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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.