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Finding the Fourth Proportional to 8,475.24, 12,708 and 7,986

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Solution

The fourth proportional to 8,475.24, 12,708 and 7,986 is: 11,974.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,475.24 : 12,708 = 7,986 : x
  2. Step 2: Convert to fraction form
    8,475.24/12,708 = 7,986/x
  3. Step 3: Cross multiply
    8,475.24x = 12,708 × 7,986
  4. Step 4: Simplify right side
    8,475.24x = 101,486,088
  5. Step 5: Solve for x
    x = 101,486,088/8,475.24
  6. Step 6: Final answer
    x = 11,974.42

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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.