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Finding the Fourth Proportional to 11,449.76, 17,170.80 and 4,052.96

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Solution

The fourth proportional to 11,449.76, 17,170.80 and 4,052.96 is: 6,078.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,449.76 : 17,170.80 = 4,052.96 : x
  2. Step 2: Convert to fraction form
    11,449.76/17,170.80 = 4,052.96/x
  3. Step 3: Cross multiply
    11,449.76x = 17,170.80 × 4,052.96
  4. Step 4: Simplify right side
    11,449.76x = 69,592,565.57
  5. Step 5: Solve for x
    x = 69,592,565.57/11,449.76
  6. Step 6: Final answer
    x = 6,078.08

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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.