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Finding the Fourth Proportional to 7,227.60, 10,841.40 and 2,842.68

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Solution

The fourth proportional to 7,227.60, 10,841.40 and 2,842.68 is: 4,264.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.60 : 10,841.40 = 2,842.68 : x
  2. Step 2: Convert to fraction form
    7,227.60/10,841.40 = 2,842.68/x
  3. Step 3: Cross multiply
    7,227.60x = 10,841.40 × 2,842.68
  4. Step 4: Simplify right side
    7,227.60x = 30,818,630.95
  5. Step 5: Solve for x
    x = 30,818,630.95/7,227.60
  6. Step 6: Final answer
    x = 4,264.02

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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.