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Finding the Fourth Proportional to 7,247.77, 10,873.02 and 2,865.26

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Solution

The fourth proportional to 7,247.77, 10,873.02 and 2,865.26 is: 4,298.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,247.77 : 10,873.02 = 2,865.26 : x
  2. Step 2: Convert to fraction form
    7,247.77/10,873.02 = 2,865.26/x
  3. Step 3: Cross multiply
    7,247.77x = 10,873.02 × 2,865.26
  4. Step 4: Simplify right side
    7,247.77x = 31,154,029.29
  5. Step 5: Solve for x
    x = 31,154,029.29/7,247.77
  6. Step 6: Final answer
    x = 4,298.43

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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.