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Finding the Fourth Proportional to 10,488.38, 14,474 and 6,012.40

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Solution

The fourth proportional to 10,488.38, 14,474 and 6,012.40 is: 8,297.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488.38 : 14,474 = 6,012.40 : x
  2. Step 2: Convert to fraction form
    10,488.38/14,474 = 6,012.40/x
  3. Step 3: Cross multiply
    10,488.38x = 14,474 × 6,012.40
  4. Step 4: Simplify right side
    10,488.38x = 87,023,477.60
  5. Step 5: Solve for x
    x = 87,023,477.60/10,488.38
  6. Step 6: Final answer
    x = 8,297.13

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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.