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Finding the Fourth Proportional to 8,565.86, 12,848.82 and 2,409.86

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Solution

The fourth proportional to 8,565.86, 12,848.82 and 2,409.86 is: 3,614.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,565.86 : 12,848.82 = 2,409.86 : x
  2. Step 2: Convert to fraction form
    8,565.86/12,848.82 = 2,409.86/x
  3. Step 3: Cross multiply
    8,565.86x = 12,848.82 × 2,409.86
  4. Step 4: Simplify right side
    8,565.86x = 30,963,857.37
  5. Step 5: Solve for x
    x = 30,963,857.37/8,565.86
  6. Step 6: Final answer
    x = 3,614.80

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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.