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Finding the Fourth Proportional to 8,857, 12,222.66 and 4,878.10

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Solution

The fourth proportional to 8,857, 12,222.66 and 4,878.10 is: 6,731.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,857 : 12,222.66 = 4,878.10 : x
  2. Step 2: Convert to fraction form
    8,857/12,222.66 = 4,878.10/x
  3. Step 3: Cross multiply
    8,857x = 12,222.66 × 4,878.10
  4. Step 4: Simplify right side
    8,857x = 59,623,357.75
  5. Step 5: Solve for x
    x = 59,623,357.75/8,857
  6. Step 6: Final answer
    x = 6,731.78

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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.