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Finding the Fourth Proportional to 7,447.60, 11,170.76 and 2,182.20

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Solution

The fourth proportional to 7,447.60, 11,170.76 and 2,182.20 is: 3,273.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447.60 : 11,170.76 = 2,182.20 : x
  2. Step 2: Convert to fraction form
    7,447.60/11,170.76 = 2,182.20/x
  3. Step 3: Cross multiply
    7,447.60x = 11,170.76 × 2,182.20
  4. Step 4: Simplify right side
    7,447.60x = 24,376,832.47
  5. Step 5: Solve for x
    x = 24,376,832.47/7,447.60
  6. Step 6: Final answer
    x = 3,273.11

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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.