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Finding the Fourth Proportional to 8,001.41, 12,003.89 and 3,071.05

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Solution

The fourth proportional to 8,001.41, 12,003.89 and 3,071.05 is: 4,607.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001.41 : 12,003.89 = 3,071.05 : x
  2. Step 2: Convert to fraction form
    8,001.41/12,003.89 = 3,071.05/x
  3. Step 3: Cross multiply
    8,001.41x = 12,003.89 × 3,071.05
  4. Step 4: Simplify right side
    8,001.41x = 36,864,501.02
  5. Step 5: Solve for x
    x = 36,864,501.02/8,001.41
  6. Step 6: Final answer
    x = 4,607.25

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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.