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Finding the Fourth Proportional to 10,563, 15,844.73 and 3,992.28

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Solution

The fourth proportional to 10,563, 15,844.73 and 3,992.28 is: 5,988.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563 : 15,844.73 = 3,992.28 : x
  2. Step 2: Convert to fraction form
    10,563/15,844.73 = 3,992.28/x
  3. Step 3: Cross multiply
    10,563x = 15,844.73 × 3,992.28
  4. Step 4: Simplify right side
    10,563x = 63,256,578.72
  5. Step 5: Solve for x
    x = 63,256,578.72/10,563
  6. Step 6: Final answer
    x = 5,988.51

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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.