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Finding the Fourth Proportional to 7,244.91, 10,865.47 and 2,564.46

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Solution

The fourth proportional to 7,244.91, 10,865.47 and 2,564.46 is: 3,846.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,244.91 : 10,865.47 = 2,564.46 : x
  2. Step 2: Convert to fraction form
    7,244.91/10,865.47 = 2,564.46/x
  3. Step 3: Cross multiply
    7,244.91x = 10,865.47 × 2,564.46
  4. Step 4: Simplify right side
    7,244.91x = 27,864,063.20
  5. Step 5: Solve for x
    x = 27,864,063.20/7,244.91
  6. Step 6: Final answer
    x = 3,846.02

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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.