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Finding the Fourth Proportional to 10,196.82, 15,300.50 and 4,351.86

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Solution

The fourth proportional to 10,196.82, 15,300.50 and 4,351.86 is: 6,530.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,196.82 : 15,300.50 = 4,351.86 : x
  2. Step 2: Convert to fraction form
    10,196.82/15,300.50 = 4,351.86/x
  3. Step 3: Cross multiply
    10,196.82x = 15,300.50 × 4,351.86
  4. Step 4: Simplify right side
    10,196.82x = 66,585,612.17
  5. Step 5: Solve for x
    x = 66,585,612.17/10,196.82
  6. Step 6: Final answer
    x = 6,530.04

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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.