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Finding the Fourth Proportional to 7,462.28, 10,298.12 and 4,105.28

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Solution

The fourth proportional to 7,462.28, 10,298.12 and 4,105.28 is: 5,665.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462.28 : 10,298.12 = 4,105.28 : x
  2. Step 2: Convert to fraction form
    7,462.28/10,298.12 = 4,105.28/x
  3. Step 3: Cross multiply
    7,462.28x = 10,298.12 × 4,105.28
  4. Step 4: Simplify right side
    7,462.28x = 42,276,594.06
  5. Step 5: Solve for x
    x = 42,276,594.06/7,462.28
  6. Step 6: Final answer
    x = 5,665.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.