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Finding the Fourth Proportional to 11,907.39, 16,439.42 and 7,434.98

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Solution

The fourth proportional to 11,907.39, 16,439.42 and 7,434.98 is: 10,264.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907.39 : 16,439.42 = 7,434.98 : x
  2. Step 2: Convert to fraction form
    11,907.39/16,439.42 = 7,434.98/x
  3. Step 3: Cross multiply
    11,907.39x = 16,439.42 × 7,434.98
  4. Step 4: Simplify right side
    11,907.39x = 122,226,758.91
  5. Step 5: Solve for x
    x = 122,226,758.91/11,907.39
  6. Step 6: Final answer
    x = 10,264.78

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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.