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Finding the Fourth Proportional to 11,707.47, 17,561.22 and 4,781.97

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Solution

The fourth proportional to 11,707.47, 17,561.22 and 4,781.97 is: 7,172.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.47 : 17,561.22 = 4,781.97 : x
  2. Step 2: Convert to fraction form
    11,707.47/17,561.22 = 4,781.97/x
  3. Step 3: Cross multiply
    11,707.47x = 17,561.22 × 4,781.97
  4. Step 4: Simplify right side
    11,707.47x = 83,977,227.20
  5. Step 5: Solve for x
    x = 83,977,227.20/11,707.47
  6. Step 6: Final answer
    x = 7,172.96

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