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Finding the Fourth Proportional to 7,414.08, 10,228.96 and 5,289.96

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Solution

The fourth proportional to 7,414.08, 10,228.96 and 5,289.96 is: 7,298.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,414.08 : 10,228.96 = 5,289.96 : x
  2. Step 2: Convert to fraction form
    7,414.08/10,228.96 = 5,289.96/x
  3. Step 3: Cross multiply
    7,414.08x = 10,228.96 × 5,289.96
  4. Step 4: Simplify right side
    7,414.08x = 54,110,789.24
  5. Step 5: Solve for x
    x = 54,110,789.24/7,414.08
  6. Step 6: Final answer
    x = 7,298.38

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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.