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Finding the Fourth Proportional to 10,514.88, 15,772.25 and 3,936.40

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Solution

The fourth proportional to 10,514.88, 15,772.25 and 3,936.40 is: 5,904.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,514.88 : 15,772.25 = 3,936.40 : x
  2. Step 2: Convert to fraction form
    10,514.88/15,772.25 = 3,936.40/x
  3. Step 3: Cross multiply
    10,514.88x = 15,772.25 × 3,936.40
  4. Step 4: Simplify right side
    10,514.88x = 62,085,855.31
  5. Step 5: Solve for x
    x = 62,085,855.31/10,514.88
  6. Step 6: Final answer
    x = 5,904.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.