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Finding the Fourth Proportional to 15,375.52, 23,062.74 and 4,987

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Solution

The fourth proportional to 15,375.52, 23,062.74 and 4,987 is: 7,480.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,375.52 : 23,062.74 = 4,987 : x
  2. Step 2: Convert to fraction form
    15,375.52/23,062.74 = 4,987/x
  3. Step 3: Cross multiply
    15,375.52x = 23,062.74 × 4,987
  4. Step 4: Simplify right side
    15,375.52x = 115,013,884.38
  5. Step 5: Solve for x
    x = 115,013,884.38/15,375.52
  6. Step 6: Final answer
    x = 7,480.32

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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.