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Finding the Fourth Proportional to 7,907.50, 10,912.19 and 4,370.63

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Solution

The fourth proportional to 7,907.50, 10,912.19 and 4,370.63 is: 6,031.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,907.50 : 10,912.19 = 4,370.63 : x
  2. Step 2: Convert to fraction form
    7,907.50/10,912.19 = 4,370.63/x
  3. Step 3: Cross multiply
    7,907.50x = 10,912.19 × 4,370.63
  4. Step 4: Simplify right side
    7,907.50x = 47,693,144.98
  5. Step 5: Solve for x
    x = 47,693,144.98/7,907.50
  6. Step 6: Final answer
    x = 6,031.38

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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.