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Finding the Fourth Proportional to 8,565.75, 12,848.63 and 2,409.75

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Solution

The fourth proportional to 8,565.75, 12,848.63 and 2,409.75 is: 3,614.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,565.75 : 12,848.63 = 2,409.75 : x
  2. Step 2: Convert to fraction form
    8,565.75/12,848.63 = 2,409.75/x
  3. Step 3: Cross multiply
    8,565.75x = 12,848.63 × 2,409.75
  4. Step 4: Simplify right side
    8,565.75x = 30,961,974.09
  5. Step 5: Solve for x
    x = 30,961,974.09/8,565.75
  6. Step 6: Final answer
    x = 3,614.63

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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.