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Finding the Fourth Proportional to 10,537.68, 15,805.28 and 7,067.60

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Solution

The fourth proportional to 10,537.68, 15,805.28 and 7,067.60 is: 10,600.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.68 : 15,805.28 = 7,067.60 : x
  2. Step 2: Convert to fraction form
    10,537.68/15,805.28 = 7,067.60/x
  3. Step 3: Cross multiply
    10,537.68x = 15,805.28 × 7,067.60
  4. Step 4: Simplify right side
    10,537.68x = 111,705,396.93
  5. Step 5: Solve for x
    x = 111,705,396.93/10,537.68
  6. Step 6: Final answer
    x = 10,600.57

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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.