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Finding the Fourth Proportional to 10,488.38, 14,474.01 and 6,012.39

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Solution

The fourth proportional to 10,488.38, 14,474.01 and 6,012.39 is: 8,297.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488.38 : 14,474.01 = 6,012.39 : x
  2. Step 2: Convert to fraction form
    10,488.38/14,474.01 = 6,012.39/x
  3. Step 3: Cross multiply
    10,488.38x = 14,474.01 × 6,012.39
  4. Step 4: Simplify right side
    10,488.38x = 87,023,392.98
  5. Step 5: Solve for x
    x = 87,023,392.98/10,488.38
  6. Step 6: Final answer
    x = 8,297.12

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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.