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Finding the Fourth Proportional to 10,967.80, 16,446.90 and 4,391.80

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Solution

The fourth proportional to 10,967.80, 16,446.90 and 4,391.80 is: 6,585.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967.80 : 16,446.90 = 4,391.80 : x
  2. Step 2: Convert to fraction form
    10,967.80/16,446.90 = 4,391.80/x
  3. Step 3: Cross multiply
    10,967.80x = 16,446.90 × 4,391.80
  4. Step 4: Simplify right side
    10,967.80x = 72,231,495.42
  5. Step 5: Solve for x
    x = 72,231,495.42/10,967.80
  6. Step 6: Final answer
    x = 6,585.78

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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.