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Finding the Fourth Proportional to 11,275.14, 15,557.86 and 7,080.42

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Solution

The fourth proportional to 11,275.14, 15,557.86 and 7,080.42 is: 9,769.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,275.14 : 15,557.86 = 7,080.42 : x
  2. Step 2: Convert to fraction form
    11,275.14/15,557.86 = 7,080.42/x
  3. Step 3: Cross multiply
    11,275.14x = 15,557.86 × 7,080.42
  4. Step 4: Simplify right side
    11,275.14x = 110,156,183.10
  5. Step 5: Solve for x
    x = 110,156,183.10/11,275.14
  6. Step 6: Final answer
    x = 9,769.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.