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Finding the Fourth Proportional to 8,001.88, 12,007.13 and 3,897.88

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Solution

The fourth proportional to 8,001.88, 12,007.13 and 3,897.88 is: 5,848.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001.88 : 12,007.13 = 3,897.88 : x
  2. Step 2: Convert to fraction form
    8,001.88/12,007.13 = 3,897.88/x
  3. Step 3: Cross multiply
    8,001.88x = 12,007.13 × 3,897.88
  4. Step 4: Simplify right side
    8,001.88x = 46,802,351.88
  5. Step 5: Solve for x
    x = 46,802,351.88/8,001.88
  6. Step 6: Final answer
    x = 5,848.92

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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.