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Finding the Fourth Proportional to 8,837.75, 12,196.38 and 4,859.15

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Solution

The fourth proportional to 8,837.75, 12,196.38 and 4,859.15 is: 6,705.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,837.75 : 12,196.38 = 4,859.15 : x
  2. Step 2: Convert to fraction form
    8,837.75/12,196.38 = 4,859.15/x
  3. Step 3: Cross multiply
    8,837.75x = 12,196.38 × 4,859.15
  4. Step 4: Simplify right side
    8,837.75x = 59,264,039.88
  5. Step 5: Solve for x
    x = 59,264,039.88/8,837.75
  6. Step 6: Final answer
    x = 6,705.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.