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Finding the Fourth Proportional to 10,134.54, 15,206.22 and 3,565.44

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Solution

The fourth proportional to 10,134.54, 15,206.22 and 3,565.44 is: 5,349.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,134.54 : 15,206.22 = 3,565.44 : x
  2. Step 2: Convert to fraction form
    10,134.54/15,206.22 = 3,565.44/x
  3. Step 3: Cross multiply
    10,134.54x = 15,206.22 × 3,565.44
  4. Step 4: Simplify right side
    10,134.54x = 54,216,865.04
  5. Step 5: Solve for x
    x = 54,216,865.04/10,134.54
  6. Step 6: Final answer
    x = 5,349.71

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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.