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Finding the Fourth Proportional to 8,113.36, 12,171.42 and 2,565.40

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Solution

The fourth proportional to 8,113.36, 12,171.42 and 2,565.40 is: 3,848.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.36 : 12,171.42 = 2,565.40 : x
  2. Step 2: Convert to fraction form
    8,113.36/12,171.42 = 2,565.40/x
  3. Step 3: Cross multiply
    8,113.36x = 12,171.42 × 2,565.40
  4. Step 4: Simplify right side
    8,113.36x = 31,224,560.87
  5. Step 5: Solve for x
    x = 31,224,560.87/8,113.36
  6. Step 6: Final answer
    x = 3,848.54

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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.