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Finding the Fourth Proportional to 12,781.08, 17,638.02 and 7,191

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Solution

The fourth proportional to 12,781.08, 17,638.02 and 7,191 is: 9,923.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,781.08 : 17,638.02 = 7,191 : x
  2. Step 2: Convert to fraction form
    12,781.08/17,638.02 = 7,191/x
  3. Step 3: Cross multiply
    12,781.08x = 17,638.02 × 7,191
  4. Step 4: Simplify right side
    12,781.08x = 126,835,001.82
  5. Step 5: Solve for x
    x = 126,835,001.82/12,781.08
  6. Step 6: Final answer
    x = 9,923.65

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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.