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Finding the Fourth Proportional to 12,875.92, 17,767.38 and 8,094.76

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Solution

The fourth proportional to 12,875.92, 17,767.38 and 8,094.76 is: 11,169.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,875.92 : 17,767.38 = 8,094.76 : x
  2. Step 2: Convert to fraction form
    12,875.92/17,767.38 = 8,094.76/x
  3. Step 3: Cross multiply
    12,875.92x = 17,767.38 × 8,094.76
  4. Step 4: Simplify right side
    12,875.92x = 143,822,676.93
  5. Step 5: Solve for x
    x = 143,822,676.93/12,875.92
  6. Step 6: Final answer
    x = 11,169.90

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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.