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Finding the Fourth Proportional to 10,199.67, 15,295.74 and 3,534.49

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Solution

The fourth proportional to 10,199.67, 15,295.74 and 3,534.49 is: 5,300.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199.67 : 15,295.74 = 3,534.49 : x
  2. Step 2: Convert to fraction form
    10,199.67/15,295.74 = 3,534.49/x
  3. Step 3: Cross multiply
    10,199.67x = 15,295.74 × 3,534.49
  4. Step 4: Simplify right side
    10,199.67x = 54,062,640.07
  5. Step 5: Solve for x
    x = 54,062,640.07/10,199.67
  6. Step 6: Final answer
    x = 5,300.43

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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.