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Finding the Fourth Proportional to 7,282.67, 10,925.82 and 2,352.20

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Solution

The fourth proportional to 7,282.67, 10,925.82 and 2,352.20 is: 3,528.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,282.67 : 10,925.82 = 2,352.20 : x
  2. Step 2: Convert to fraction form
    7,282.67/10,925.82 = 2,352.20/x
  3. Step 3: Cross multiply
    7,282.67x = 10,925.82 × 2,352.20
  4. Step 4: Simplify right side
    7,282.67x = 25,699,659.17
  5. Step 5: Solve for x
    x = 25,699,659.17/7,282.67
  6. Step 6: Final answer
    x = 3,528.88

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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.