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Finding the Fourth Proportional to 8,409.26, 12,615.86 and 2,565.87

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Solution

The fourth proportional to 8,409.26, 12,615.86 and 2,565.87 is: 3,849.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.26 : 12,615.86 = 2,565.87 : x
  2. Step 2: Convert to fraction form
    8,409.26/12,615.86 = 2,565.87/x
  3. Step 3: Cross multiply
    8,409.26x = 12,615.86 × 2,565.87
  4. Step 4: Simplify right side
    8,409.26x = 32,370,656.70
  5. Step 5: Solve for x
    x = 32,370,656.70/8,409.26
  6. Step 6: Final answer
    x = 3,849.41

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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.