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Finding the Fourth Proportional to 7,902.16, 10,906.68 and 5,390.28

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Solution

The fourth proportional to 7,902.16, 10,906.68 and 5,390.28 is: 7,439.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.16 : 10,906.68 = 5,390.28 : x
  2. Step 2: Convert to fraction form
    7,902.16/10,906.68 = 5,390.28/x
  3. Step 3: Cross multiply
    7,902.16x = 10,906.68 × 5,390.28
  4. Step 4: Simplify right side
    7,902.16x = 58,790,079.28
  5. Step 5: Solve for x
    x = 58,790,079.28/7,902.16
  6. Step 6: Final answer
    x = 7,439.75

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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.