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Finding the Fourth Proportional to 11,772.34, 16,246.38 and 6,737.11

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Solution

The fourth proportional to 11,772.34, 16,246.38 and 6,737.11 is: 9,297.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.34 : 16,246.38 = 6,737.11 : x
  2. Step 2: Convert to fraction form
    11,772.34/16,246.38 = 6,737.11/x
  3. Step 3: Cross multiply
    11,772.34x = 16,246.38 × 6,737.11
  4. Step 4: Simplify right side
    11,772.34x = 109,453,649.16
  5. Step 5: Solve for x
    x = 109,453,649.16/11,772.34
  6. Step 6: Final answer
    x = 9,297.53

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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.