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Finding the Fourth Proportional to 8,794.60, 12,142.22 and 7,848.78

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Solution

The fourth proportional to 8,794.60, 12,142.22 and 7,848.78 is: 10,836.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,794.60 : 12,142.22 = 7,848.78 : x
  2. Step 2: Convert to fraction form
    8,794.60/12,142.22 = 7,848.78/x
  3. Step 3: Cross multiply
    8,794.60x = 12,142.22 × 7,848.78
  4. Step 4: Simplify right side
    8,794.60x = 95,301,613.49
  5. Step 5: Solve for x
    x = 95,301,613.49/8,794.60
  6. Step 6: Final answer
    x = 10,836.38

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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.