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Finding the Fourth Proportional to 11,616.16, 17,414.44 and 5,037.39

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Solution

The fourth proportional to 11,616.16, 17,414.44 and 5,037.39 is: 7,551.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.16 : 17,414.44 = 5,037.39 : x
  2. Step 2: Convert to fraction form
    11,616.16/17,414.44 = 5,037.39/x
  3. Step 3: Cross multiply
    11,616.16x = 17,414.44 × 5,037.39
  4. Step 4: Simplify right side
    11,616.16x = 87,723,341.65
  5. Step 5: Solve for x
    x = 87,723,341.65/11,616.16
  6. Step 6: Final answer
    x = 7,551.84

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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.