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Finding the Fourth Proportional to 10,358.68, 15,537.84 and 3,433

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Solution

The fourth proportional to 10,358.68, 15,537.84 and 3,433 is: 5,149.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358.68 : 15,537.84 = 3,433 : x
  2. Step 2: Convert to fraction form
    10,358.68/15,537.84 = 3,433/x
  3. Step 3: Cross multiply
    10,358.68x = 15,537.84 × 3,433
  4. Step 4: Simplify right side
    10,358.68x = 53,341,404.72
  5. Step 5: Solve for x
    x = 53,341,404.72/10,358.68
  6. Step 6: Final answer
    x = 5,149.44

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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.