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Finding the Fourth Proportional to 7,113.75, 10,671.24 and 2,433.57

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Solution

The fourth proportional to 7,113.75, 10,671.24 and 2,433.57 is: 3,650.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.75 : 10,671.24 = 2,433.57 : x
  2. Step 2: Convert to fraction form
    7,113.75/10,671.24 = 2,433.57/x
  3. Step 3: Cross multiply
    7,113.75x = 10,671.24 × 2,433.57
  4. Step 4: Simplify right side
    7,113.75x = 25,969,209.53
  5. Step 5: Solve for x
    x = 25,969,209.53/7,113.75
  6. Step 6: Final answer
    x = 3,650.57

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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.