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Finding the Fourth Proportional to 7,528.62, 10,390 and 4,171.58

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Solution

The fourth proportional to 7,528.62, 10,390 and 4,171.58 is: 5,757.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,528.62 : 10,390 = 4,171.58 : x
  2. Step 2: Convert to fraction form
    7,528.62/10,390 = 4,171.58/x
  3. Step 3: Cross multiply
    7,528.62x = 10,390 × 4,171.58
  4. Step 4: Simplify right side
    7,528.62x = 43,342,716.20
  5. Step 5: Solve for x
    x = 43,342,716.20/7,528.62
  6. Step 6: Final answer
    x = 5,757.06

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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.