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Finding the Fourth Proportional to 7,247.88, 10,876.00 and 3,916.14

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Solution

The fourth proportional to 7,247.88, 10,876.00 and 3,916.14 is: 5,876.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,247.88 : 10,876.00 = 3,916.14 : x
  2. Step 2: Convert to fraction form
    7,247.88/10,876.00 = 3,916.14/x
  3. Step 3: Cross multiply
    7,247.88x = 10,876.00 × 3,916.14
  4. Step 4: Simplify right side
    7,247.88x = 42,591,921.24
  5. Step 5: Solve for x
    x = 42,591,921.24/7,247.88
  6. Step 6: Final answer
    x = 5,876.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.