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Finding the Fourth Proportional to 10,366.38, 15,552 and 5,433.48

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Solution

The fourth proportional to 10,366.38, 15,552 and 5,433.48 is: 8,151.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.38 : 15,552 = 5,433.48 : x
  2. Step 2: Convert to fraction form
    10,366.38/15,552 = 5,433.48/x
  3. Step 3: Cross multiply
    10,366.38x = 15,552 × 5,433.48
  4. Step 4: Simplify right side
    10,366.38x = 84,501,480.96
  5. Step 5: Solve for x
    x = 84,501,480.96/10,366.38
  6. Step 6: Final answer
    x = 8,151.49

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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.