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Finding the Fourth Proportional to 8,148.39, 12,149.60 and 8,000.77

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Solution

The fourth proportional to 8,148.39, 12,149.60 and 8,000.77 is: 11,929.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,148.39 : 12,149.60 = 8,000.77 : x
  2. Step 2: Convert to fraction form
    8,148.39/12,149.60 = 8,000.77/x
  3. Step 3: Cross multiply
    8,148.39x = 12,149.60 × 8,000.77
  4. Step 4: Simplify right side
    8,148.39x = 97,206,144.82
  5. Step 5: Solve for x
    x = 97,206,144.82/8,148.39
  6. Step 6: Final answer
    x = 11,929.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.