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Finding the Fourth Proportional to 7,907.82, 10,912.35 and 4,370.80

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Solution

The fourth proportional to 7,907.82, 10,912.35 and 4,370.80 is: 6,031.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,907.82 : 10,912.35 = 4,370.80 : x
  2. Step 2: Convert to fraction form
    7,907.82/10,912.35 = 4,370.80/x
  3. Step 3: Cross multiply
    7,907.82x = 10,912.35 × 4,370.80
  4. Step 4: Simplify right side
    7,907.82x = 47,695,699.38
  5. Step 5: Solve for x
    x = 47,695,699.38/7,907.82
  6. Step 6: Final answer
    x = 6,031.46

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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.