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Finding the Fourth Proportional to 12,877.72, 17,767.22 and 7,211.70

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Solution

The fourth proportional to 12,877.72, 17,767.22 and 7,211.70 is: 9,949.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,877.72 : 17,767.22 = 7,211.70 : x
  2. Step 2: Convert to fraction form
    12,877.72/17,767.22 = 7,211.70/x
  3. Step 3: Cross multiply
    12,877.72x = 17,767.22 × 7,211.70
  4. Step 4: Simplify right side
    12,877.72x = 128,131,824.42
  5. Step 5: Solve for x
    x = 128,131,824.42/12,877.72
  6. Step 6: Final answer
    x = 9,949.89

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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.