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Finding the Fourth Proportional to 8,001.47, 12,003.90 and 3,071.06

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Solution

The fourth proportional to 8,001.47, 12,003.90 and 3,071.06 is: 4,607.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001.47 : 12,003.90 = 3,071.06 : x
  2. Step 2: Convert to fraction form
    8,001.47/12,003.90 = 3,071.06/x
  3. Step 3: Cross multiply
    8,001.47x = 12,003.90 × 3,071.06
  4. Step 4: Simplify right side
    8,001.47x = 36,864,637.11
  5. Step 5: Solve for x
    x = 36,864,637.11/8,001.47
  6. Step 6: Final answer
    x = 4,607.24

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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.