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Finding the Fourth Proportional to 6,980.38, 10,456.86 and 4,052.56

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Solution

The fourth proportional to 6,980.38, 10,456.86 and 4,052.56 is: 6,070.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.38 : 10,456.86 = 4,052.56 : x
  2. Step 2: Convert to fraction form
    6,980.38/10,456.86 = 4,052.56/x
  3. Step 3: Cross multiply
    6,980.38x = 10,456.86 × 4,052.56
  4. Step 4: Simplify right side
    6,980.38x = 42,377,052.56
  5. Step 5: Solve for x
    x = 42,377,052.56/6,980.38
  6. Step 6: Final answer
    x = 6,070.88

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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.