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Finding the Fourth Proportional to 10,194.81, 15,294.65 and 4,351.88

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Solution

The fourth proportional to 10,194.81, 15,294.65 and 4,351.88 is: 6,528.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.81 : 15,294.65 = 4,351.88 : x
  2. Step 2: Convert to fraction form
    10,194.81/15,294.65 = 4,351.88/x
  3. Step 3: Cross multiply
    10,194.81x = 15,294.65 × 4,351.88
  4. Step 4: Simplify right side
    10,194.81x = 66,560,383.21
  5. Step 5: Solve for x
    x = 66,560,383.21/10,194.81
  6. Step 6: Final answer
    x = 6,528.85

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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.