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Finding the Fourth Proportional to 10,193.47, 15,290.07 and 2,797.93

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Solution

The fourth proportional to 10,193.47, 15,290.07 and 2,797.93 is: 4,196.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,193.47 : 15,290.07 = 2,797.93 : x
  2. Step 2: Convert to fraction form
    10,193.47/15,290.07 = 2,797.93/x
  3. Step 3: Cross multiply
    10,193.47x = 15,290.07 × 2,797.93
  4. Step 4: Simplify right side
    10,193.47x = 42,780,469.10
  5. Step 5: Solve for x
    x = 42,780,469.10/10,193.47
  6. Step 6: Final answer
    x = 4,196.85

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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.