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Finding the Fourth Proportional to 7,867.42, 10,868.97 and 5,874.54

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Solution

The fourth proportional to 7,867.42, 10,868.97 and 5,874.54 is: 8,115.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.42 : 10,868.97 = 5,874.54 : x
  2. Step 2: Convert to fraction form
    7,867.42/10,868.97 = 5,874.54/x
  3. Step 3: Cross multiply
    7,867.42x = 10,868.97 × 5,874.54
  4. Step 4: Simplify right side
    7,867.42x = 63,850,199.02
  5. Step 5: Solve for x
    x = 63,850,199.02/7,867.42
  6. Step 6: Final answer
    x = 8,115.77

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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.