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Finding the Fourth Proportional to 7,294.95, 10,942.44 and 2,100.84

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Solution

The fourth proportional to 7,294.95, 10,942.44 and 2,100.84 is: 3,151.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294.95 : 10,942.44 = 2,100.84 : x
  2. Step 2: Convert to fraction form
    7,294.95/10,942.44 = 2,100.84/x
  3. Step 3: Cross multiply
    7,294.95x = 10,942.44 × 2,100.84
  4. Step 4: Simplify right side
    7,294.95x = 22,988,315.65
  5. Step 5: Solve for x
    x = 22,988,315.65/7,294.95
  6. Step 6: Final answer
    x = 3,151.26

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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.