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Finding the Fourth Proportional to 7,907.72, 10,912.38 and 4,371.14

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Solution

The fourth proportional to 7,907.72, 10,912.38 and 4,371.14 is: 6,032.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,907.72 : 10,912.38 = 4,371.14 : x
  2. Step 2: Convert to fraction form
    7,907.72/10,912.38 = 4,371.14/x
  3. Step 3: Cross multiply
    7,907.72x = 10,912.38 × 4,371.14
  4. Step 4: Simplify right side
    7,907.72x = 47,699,540.71
  5. Step 5: Solve for x
    x = 47,699,540.71/7,907.72
  6. Step 6: Final answer
    x = 6,032.02

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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.