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Finding the Fourth Proportional to 10,360, 15,542.46 and 3,434.50

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Solution

The fourth proportional to 10,360, 15,542.46 and 3,434.50 is: 5,152.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,360 : 15,542.46 = 3,434.50 : x
  2. Step 2: Convert to fraction form
    10,360/15,542.46 = 3,434.50/x
  3. Step 3: Cross multiply
    10,360x = 15,542.46 × 3,434.50
  4. Step 4: Simplify right side
    10,360x = 53,380,578.87
  5. Step 5: Solve for x
    x = 53,380,578.87/10,360
  6. Step 6: Final answer
    x = 5,152.57

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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.