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Finding the Fourth Proportional to 7,140.49, 10,712.33 and 3,445.82

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Solution

The fourth proportional to 7,140.49, 10,712.33 and 3,445.82 is: 5,169.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.49 : 10,712.33 = 3,445.82 : x
  2. Step 2: Convert to fraction form
    7,140.49/10,712.33 = 3,445.82/x
  3. Step 3: Cross multiply
    7,140.49x = 10,712.33 × 3,445.82
  4. Step 4: Simplify right side
    7,140.49x = 36,912,760.96
  5. Step 5: Solve for x
    x = 36,912,760.96/7,140.49
  6. Step 6: Final answer
    x = 5,169.50

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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.