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Finding the Fourth Proportional to 8,409.60, 12,613.94 and 2,565.75

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Solution

The fourth proportional to 8,409.60, 12,613.94 and 2,565.75 is: 3,848.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.60 : 12,613.94 = 2,565.75 : x
  2. Step 2: Convert to fraction form
    8,409.60/12,613.94 = 2,565.75/x
  3. Step 3: Cross multiply
    8,409.60x = 12,613.94 × 2,565.75
  4. Step 4: Simplify right side
    8,409.60x = 32,364,222.97
  5. Step 5: Solve for x
    x = 32,364,222.97/8,409.60
  6. Step 6: Final answer
    x = 3,848.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.