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Finding the Fourth Proportional to 10,189.26, 15,282 and 3,615.57

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Solution

The fourth proportional to 10,189.26, 15,282 and 3,615.57 is: 5,422.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,189.26 : 15,282 = 3,615.57 : x
  2. Step 2: Convert to fraction form
    10,189.26/15,282 = 3,615.57/x
  3. Step 3: Cross multiply
    10,189.26x = 15,282 × 3,615.57
  4. Step 4: Simplify right side
    10,189.26x = 55,253,140.74
  5. Step 5: Solve for x
    x = 55,253,140.74/10,189.26
  6. Step 6: Final answer
    x = 5,422.68

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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.