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Finding the Fourth Proportional to 12,827.05, 17,702.11 and 7,161.79

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Solution

The fourth proportional to 12,827.05, 17,702.11 and 7,161.79 is: 9,883.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,827.05 : 17,702.11 = 7,161.79 : x
  2. Step 2: Convert to fraction form
    12,827.05/17,702.11 = 7,161.79/x
  3. Step 3: Cross multiply
    12,827.05x = 17,702.11 × 7,161.79
  4. Step 4: Simplify right side
    12,827.05x = 126,778,732.22
  5. Step 5: Solve for x
    x = 126,778,732.22/12,827.05
  6. Step 6: Final answer
    x = 9,883.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.