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Finding the Fourth Proportional to 10,194.68, 15,294.35 and 3,620.86

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Solution

The fourth proportional to 10,194.68, 15,294.35 and 3,620.86 is: 5,432.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.68 : 15,294.35 = 3,620.86 : x
  2. Step 2: Convert to fraction form
    10,194.68/15,294.35 = 3,620.86/x
  3. Step 3: Cross multiply
    10,194.68x = 15,294.35 × 3,620.86
  4. Step 4: Simplify right side
    10,194.68x = 55,378,670.96
  5. Step 5: Solve for x
    x = 55,378,670.96/10,194.68
  6. Step 6: Final answer
    x = 5,432.11

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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.