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Finding the Fourth Proportional to 7,279.53, 10,032.42 and 5,286.62

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Solution

The fourth proportional to 7,279.53, 10,032.42 and 5,286.62 is: 7,285.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,279.53 : 10,032.42 = 5,286.62 : x
  2. Step 2: Convert to fraction form
    7,279.53/10,032.42 = 5,286.62/x
  3. Step 3: Cross multiply
    7,279.53x = 10,032.42 × 5,286.62
  4. Step 4: Simplify right side
    7,279.53x = 53,037,637.13
  5. Step 5: Solve for x
    x = 53,037,637.13/7,279.53
  6. Step 6: Final answer
    x = 7,285.86

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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.