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Finding the Fourth Proportional to 7,178.28, 10,760.90 and 5,327.16

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Solution

The fourth proportional to 7,178.28, 10,760.90 and 5,327.16 is: 7,985.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.28 : 10,760.90 = 5,327.16 : x
  2. Step 2: Convert to fraction form
    7,178.28/10,760.90 = 5,327.16/x
  3. Step 3: Cross multiply
    7,178.28x = 10,760.90 × 5,327.16
  4. Step 4: Simplify right side
    7,178.28x = 57,325,036.04
  5. Step 5: Solve for x
    x = 57,325,036.04/7,178.28
  6. Step 6: Final answer
    x = 7,985.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.