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Finding the Fourth Proportional to 8,777.96, 12,104.38 and 5,789.98

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Solution

The fourth proportional to 8,777.96, 12,104.38 and 5,789.98 is: 7,984.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,777.96 : 12,104.38 = 5,789.98 : x
  2. Step 2: Convert to fraction form
    8,777.96/12,104.38 = 5,789.98/x
  3. Step 3: Cross multiply
    8,777.96x = 12,104.38 × 5,789.98
  4. Step 4: Simplify right side
    8,777.96x = 70,084,118.11
  5. Step 5: Solve for x
    x = 70,084,118.11/8,777.96
  6. Step 6: Final answer
    x = 7,984.10

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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.