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Finding the Fourth Proportional to 11,452.04, 17,178 and 3,659

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Solution

The fourth proportional to 11,452.04, 17,178 and 3,659 is: 5,488.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,452.04 : 17,178 = 3,659 : x
  2. Step 2: Convert to fraction form
    11,452.04/17,178 = 3,659/x
  3. Step 3: Cross multiply
    11,452.04x = 17,178 × 3,659
  4. Step 4: Simplify right side
    11,452.04x = 62,854,302
  5. Step 5: Solve for x
    x = 62,854,302/11,452.04
  6. Step 6: Final answer
    x = 5,488.48

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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.