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Finding the Fourth Proportional to 8,568, 12,846.14 and 4,565.99

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Solution

The fourth proportional to 8,568, 12,846.14 and 4,565.99 is: 6,845.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,568 : 12,846.14 = 4,565.99 : x
  2. Step 2: Convert to fraction form
    8,568/12,846.14 = 4,565.99/x
  3. Step 3: Cross multiply
    8,568x = 12,846.14 × 4,565.99
  4. Step 4: Simplify right side
    8,568x = 58,655,326.61
  5. Step 5: Solve for x
    x = 58,655,326.61/8,568
  6. Step 6: Final answer
    x = 6,845.86

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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.