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Finding the Fourth Proportional to 11,877.66, 17,809.29 and 8,175.83

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Solution

The fourth proportional to 11,877.66, 17,809.29 and 8,175.83 is: 12,258.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,877.66 : 17,809.29 = 8,175.83 : x
  2. Step 2: Convert to fraction form
    11,877.66/17,809.29 = 8,175.83/x
  3. Step 3: Cross multiply
    11,877.66x = 17,809.29 × 8,175.83
  4. Step 4: Simplify right side
    11,877.66x = 145,605,638.41
  5. Step 5: Solve for x
    x = 145,605,638.41/11,877.66
  6. Step 6: Final answer
    x = 12,258.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.