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Finding the Fourth Proportional to 11,882.93, 16,412.22 and 7,897.12

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Solution

The fourth proportional to 11,882.93, 16,412.22 and 7,897.12 is: 10,907.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.93 : 16,412.22 = 7,897.12 : x
  2. Step 2: Convert to fraction form
    11,882.93/16,412.22 = 7,897.12/x
  3. Step 3: Cross multiply
    11,882.93x = 16,412.22 × 7,897.12
  4. Step 4: Simplify right side
    11,882.93x = 129,609,229.78
  5. Step 5: Solve for x
    x = 129,609,229.78/11,882.93
  6. Step 6: Final answer
    x = 10,907.18

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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.