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Finding the Fourth Proportional to 11,732.80, 16,182.84 and 7,537

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Solution

The fourth proportional to 11,732.80, 16,182.84 and 7,537 is: 10,395.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,732.80 : 16,182.84 = 7,537 : x
  2. Step 2: Convert to fraction form
    11,732.80/16,182.84 = 7,537/x
  3. Step 3: Cross multiply
    11,732.80x = 16,182.84 × 7,537
  4. Step 4: Simplify right side
    11,732.80x = 121,970,065.08
  5. Step 5: Solve for x
    x = 121,970,065.08/11,732.80
  6. Step 6: Final answer
    x = 10,395.65

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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.