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Finding the Fourth Proportional to 7,902.18, 10,900.44 and 5,107.68

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Solution

The fourth proportional to 7,902.18, 10,900.44 and 5,107.68 is: 7,045.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.18 : 10,900.44 = 5,107.68 : x
  2. Step 2: Convert to fraction form
    7,902.18/10,900.44 = 5,107.68/x
  3. Step 3: Cross multiply
    7,902.18x = 10,900.44 × 5,107.68
  4. Step 4: Simplify right side
    7,902.18x = 55,675,959.38
  5. Step 5: Solve for x
    x = 55,675,959.38/7,902.18
  6. Step 6: Final answer
    x = 7,045.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.