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Finding the Fourth Proportional to 8,111.64, 12,166.40 and 2,565.54

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Solution

The fourth proportional to 8,111.64, 12,166.40 and 2,565.54 is: 3,847.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.64 : 12,166.40 = 2,565.54 : x
  2. Step 2: Convert to fraction form
    8,111.64/12,166.40 = 2,565.54/x
  3. Step 3: Cross multiply
    8,111.64x = 12,166.40 × 2,565.54
  4. Step 4: Simplify right side
    8,111.64x = 31,213,373.03
  5. Step 5: Solve for x
    x = 31,213,373.03/8,111.64
  6. Step 6: Final answer
    x = 3,847.97

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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.