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Finding the Fourth Proportional to 7,286.30, 10,046.13 and 5,395.22

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Solution

The fourth proportional to 7,286.30, 10,046.13 and 5,395.22 is: 7,438.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,286.30 : 10,046.13 = 5,395.22 : x
  2. Step 2: Convert to fraction form
    7,286.30/10,046.13 = 5,395.22/x
  3. Step 3: Cross multiply
    7,286.30x = 10,046.13 × 5,395.22
  4. Step 4: Simplify right side
    7,286.30x = 54,201,081.50
  5. Step 5: Solve for x
    x = 54,201,081.50/7,286.30
  6. Step 6: Final answer
    x = 7,438.77

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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.