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Finding the Fourth Proportional to 8,111.55, 12,169.16 and 2,565.24

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Solution

The fourth proportional to 8,111.55, 12,169.16 and 2,565.24 is: 3,848.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.55 : 12,169.16 = 2,565.24 : x
  2. Step 2: Convert to fraction form
    8,111.55/12,169.16 = 2,565.24/x
  3. Step 3: Cross multiply
    8,111.55x = 12,169.16 × 2,565.24
  4. Step 4: Simplify right side
    8,111.55x = 31,216,816.00
  5. Step 5: Solve for x
    x = 31,216,816.00/8,111.55
  6. Step 6: Final answer
    x = 3,848.44

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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.