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Finding the Fourth Proportional to 10,194.57, 15,291.88 and 2,799.13

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Solution

The fourth proportional to 10,194.57, 15,291.88 and 2,799.13 is: 4,198.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.57 : 15,291.88 = 2,799.13 : x
  2. Step 2: Convert to fraction form
    10,194.57/15,291.88 = 2,799.13/x
  3. Step 3: Cross multiply
    10,194.57x = 15,291.88 × 2,799.13
  4. Step 4: Simplify right side
    10,194.57x = 42,803,960.06
  5. Step 5: Solve for x
    x = 42,803,960.06/10,194.57
  6. Step 6: Final answer
    x = 4,198.70

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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.