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Finding the Fourth Proportional to 11,250.94, 15,523.67 and 6,532.38

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Solution

The fourth proportional to 11,250.94, 15,523.67 and 6,532.38 is: 9,013.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,250.94 : 15,523.67 = 6,532.38 : x
  2. Step 2: Convert to fraction form
    11,250.94/15,523.67 = 6,532.38/x
  3. Step 3: Cross multiply
    11,250.94x = 15,523.67 × 6,532.38
  4. Step 4: Simplify right side
    11,250.94x = 101,406,511.43
  5. Step 5: Solve for x
    x = 101,406,511.43/11,250.94
  6. Step 6: Final answer
    x = 9,013.16

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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.