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Finding the Fourth Proportional to 8,111.93, 12,167.81 and 2,565.28

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Solution

The fourth proportional to 8,111.93, 12,167.81 and 2,565.28 is: 3,847.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.93 : 12,167.81 = 2,565.28 : x
  2. Step 2: Convert to fraction form
    8,111.93/12,167.81 = 2,565.28/x
  3. Step 3: Cross multiply
    8,111.93x = 12,167.81 × 2,565.28
  4. Step 4: Simplify right side
    8,111.93x = 31,213,797.63
  5. Step 5: Solve for x
    x = 31,213,797.63/8,111.93
  6. Step 6: Final answer
    x = 3,847.89

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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.