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Finding the Fourth Proportional to 11,568.52, 17,340.54 and 3,775.24

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Solution

The fourth proportional to 11,568.52, 17,340.54 and 3,775.24 is: 5,658.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,568.52 : 17,340.54 = 3,775.24 : x
  2. Step 2: Convert to fraction form
    11,568.52/17,340.54 = 3,775.24/x
  3. Step 3: Cross multiply
    11,568.52x = 17,340.54 × 3,775.24
  4. Step 4: Simplify right side
    11,568.52x = 65,464,700.23
  5. Step 5: Solve for x
    x = 65,464,700.23/11,568.52
  6. Step 6: Final answer
    x = 5,658.87

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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.