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Finding the Fourth Proportional to 8,112.42, 12,167.98 and 2,565.92

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Solution

The fourth proportional to 8,112.42, 12,167.98 and 2,565.92 is: 3,848.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112.42 : 12,167.98 = 2,565.92 : x
  2. Step 2: Convert to fraction form
    8,112.42/12,167.98 = 2,565.92/x
  3. Step 3: Cross multiply
    8,112.42x = 12,167.98 × 2,565.92
  4. Step 4: Simplify right side
    8,112.42x = 31,222,063.24
  5. Step 5: Solve for x
    x = 31,222,063.24/8,112.42
  6. Step 6: Final answer
    x = 3,848.67

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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.