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Finding the Fourth Proportional to 10,538.69, 15,808.94 and 2,747.50

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Solution

The fourth proportional to 10,538.69, 15,808.94 and 2,747.50 is: 4,121.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,538.69 : 15,808.94 = 2,747.50 : x
  2. Step 2: Convert to fraction form
    10,538.69/15,808.94 = 2,747.50/x
  3. Step 3: Cross multiply
    10,538.69x = 15,808.94 × 2,747.50
  4. Step 4: Simplify right side
    10,538.69x = 43,435,062.65
  5. Step 5: Solve for x
    x = 43,435,062.65/10,538.69
  6. Step 6: Final answer
    x = 4,121.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.