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Finding the Fourth Proportional to 11,229.58, 15,497.28 and 6,194.38

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Solution

The fourth proportional to 11,229.58, 15,497.28 and 6,194.38 is: 8,548.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,229.58 : 15,497.28 = 6,194.38 : x
  2. Step 2: Convert to fraction form
    11,229.58/15,497.28 = 6,194.38/x
  3. Step 3: Cross multiply
    11,229.58x = 15,497.28 × 6,194.38
  4. Step 4: Simplify right side
    11,229.58x = 95,996,041.29
  5. Step 5: Solve for x
    x = 95,996,041.29/11,229.58
  6. Step 6: Final answer
    x = 8,548.50

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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.