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Finding the Fourth Proportional to 10,980.48, 16,470.90 and 6,049.20

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Solution

The fourth proportional to 10,980.48, 16,470.90 and 6,049.20 is: 9,073.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,980.48 : 16,470.90 = 6,049.20 : x
  2. Step 2: Convert to fraction form
    10,980.48/16,470.90 = 6,049.20/x
  3. Step 3: Cross multiply
    10,980.48x = 16,470.90 × 6,049.20
  4. Step 4: Simplify right side
    10,980.48x = 99,635,768.28
  5. Step 5: Solve for x
    x = 99,635,768.28/10,980.48
  6. Step 6: Final answer
    x = 9,073.90

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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.