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Finding the Fourth Proportional to 8,071.36, 12,099.74 and 2,876.02

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Solution

The fourth proportional to 8,071.36, 12,099.74 and 2,876.02 is: 4,311.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.36 : 12,099.74 = 2,876.02 : x
  2. Step 2: Convert to fraction form
    8,071.36/12,099.74 = 2,876.02/x
  3. Step 3: Cross multiply
    8,071.36x = 12,099.74 × 2,876.02
  4. Step 4: Simplify right side
    8,071.36x = 34,799,049.61
  5. Step 5: Solve for x
    x = 34,799,049.61/8,071.36
  6. Step 6: Final answer
    x = 4,311.42

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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.