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Finding the Fourth Proportional to 11,642.74, 17,451.98 and 5,397.61

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Solution

The fourth proportional to 11,642.74, 17,451.98 and 5,397.61 is: 8,090.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.74 : 17,451.98 = 5,397.61 : x
  2. Step 2: Convert to fraction form
    11,642.74/17,451.98 = 5,397.61/x
  3. Step 3: Cross multiply
    11,642.74x = 17,451.98 × 5,397.61
  4. Step 4: Simplify right side
    11,642.74x = 94,199,028.38
  5. Step 5: Solve for x
    x = 94,199,028.38/11,642.74
  6. Step 6: Final answer
    x = 8,090.80

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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.