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Finding the Fourth Proportional to 7,891.50, 11,837.34 and 2,047.76

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Solution

The fourth proportional to 7,891.50, 11,837.34 and 2,047.76 is: 3,071.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891.50 : 11,837.34 = 2,047.76 : x
  2. Step 2: Convert to fraction form
    7,891.50/11,837.34 = 2,047.76/x
  3. Step 3: Cross multiply
    7,891.50x = 11,837.34 × 2,047.76
  4. Step 4: Simplify right side
    7,891.50x = 24,239,972.17
  5. Step 5: Solve for x
    x = 24,239,972.17/7,891.50
  6. Step 6: Final answer
    x = 3,071.66

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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.