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Finding the Fourth Proportional to 8,112.30, 12,170.28 and 2,565.98

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Solution

The fourth proportional to 8,112.30, 12,170.28 and 2,565.98 is: 3,849.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112.30 : 12,170.28 = 2,565.98 : x
  2. Step 2: Convert to fraction form
    8,112.30/12,170.28 = 2,565.98/x
  3. Step 3: Cross multiply
    8,112.30x = 12,170.28 × 2,565.98
  4. Step 4: Simplify right side
    8,112.30x = 31,228,695.07
  5. Step 5: Solve for x
    x = 31,228,695.07/8,112.30
  6. Step 6: Final answer
    x = 3,849.55

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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.