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Finding the Fourth Proportional to 10,208.27, 15,306.08 and 6,694.01

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Solution

The fourth proportional to 10,208.27, 15,306.08 and 6,694.01 is: 10,036.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,208.27 : 15,306.08 = 6,694.01 : x
  2. Step 2: Convert to fraction form
    10,208.27/15,306.08 = 6,694.01/x
  3. Step 3: Cross multiply
    10,208.27x = 15,306.08 × 6,694.01
  4. Step 4: Simplify right side
    10,208.27x = 102,458,942.58
  5. Step 5: Solve for x
    x = 102,458,942.58/10,208.27
  6. Step 6: Final answer
    x = 10,036.86

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