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Finding the Fourth Proportional to 7,315.50, 10,973.25 and 2,121.42

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Solution

The fourth proportional to 7,315.50, 10,973.25 and 2,121.42 is: 3,182.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,315.50 : 10,973.25 = 2,121.42 : x
  2. Step 2: Convert to fraction form
    7,315.50/10,973.25 = 2,121.42/x
  3. Step 3: Cross multiply
    7,315.50x = 10,973.25 × 2,121.42
  4. Step 4: Simplify right side
    7,315.50x = 23,278,872.02
  5. Step 5: Solve for x
    x = 23,278,872.02/7,315.50
  6. Step 6: Final answer
    x = 3,182.13

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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.