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Finding the Fourth Proportional to 7,528.72, 10,394.82 and 5,757.24

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Solution

The fourth proportional to 7,528.72, 10,394.82 and 5,757.24 is: 7,948.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,528.72 : 10,394.82 = 5,757.24 : x
  2. Step 2: Convert to fraction form
    7,528.72/10,394.82 = 5,757.24/x
  3. Step 3: Cross multiply
    7,528.72x = 10,394.82 × 5,757.24
  4. Step 4: Simplify right side
    7,528.72x = 59,845,473.50
  5. Step 5: Solve for x
    x = 59,845,473.50/7,528.72
  6. Step 6: Final answer
    x = 7,948.96

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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.