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Finding the Fourth Proportional to 11,746.38, 16,215.09 and 7,029.78

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Solution

The fourth proportional to 11,746.38, 16,215.09 and 7,029.78 is: 9,704.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,746.38 : 16,215.09 = 7,029.78 : x
  2. Step 2: Convert to fraction form
    11,746.38/16,215.09 = 7,029.78/x
  3. Step 3: Cross multiply
    11,746.38x = 16,215.09 × 7,029.78
  4. Step 4: Simplify right side
    11,746.38x = 113,988,515.38
  5. Step 5: Solve for x
    x = 113,988,515.38/11,746.38
  6. Step 6: Final answer
    x = 9,704.14

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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.