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Finding the Fourth Proportional to 10,920.42, 16,353.90 and 5,078.70

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Solution

The fourth proportional to 10,920.42, 16,353.90 and 5,078.70 is: 7,605.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920.42 : 16,353.90 = 5,078.70 : x
  2. Step 2: Convert to fraction form
    10,920.42/16,353.90 = 5,078.70/x
  3. Step 3: Cross multiply
    10,920.42x = 16,353.90 × 5,078.70
  4. Step 4: Simplify right side
    10,920.42x = 83,056,551.93
  5. Step 5: Solve for x
    x = 83,056,551.93/10,920.42
  6. Step 6: Final answer
    x = 7,605.62

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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.