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Finding the Fourth Proportional to 10,196.52, 15,288.66 and 3,530.82

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Solution

The fourth proportional to 10,196.52, 15,288.66 and 3,530.82 is: 5,294.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,196.52 : 15,288.66 = 3,530.82 : x
  2. Step 2: Convert to fraction form
    10,196.52/15,288.66 = 3,530.82/x
  3. Step 3: Cross multiply
    10,196.52x = 15,288.66 × 3,530.82
  4. Step 4: Simplify right side
    10,196.52x = 53,981,506.50
  5. Step 5: Solve for x
    x = 53,981,506.50/10,196.52
  6. Step 6: Final answer
    x = 5,294.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.