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Finding the Fourth Proportional to 6,747.69, 10,124.46 and 3,624.05

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Solution

The fourth proportional to 6,747.69, 10,124.46 and 3,624.05 is: 5,437.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,747.69 : 10,124.46 = 3,624.05 : x
  2. Step 2: Convert to fraction form
    6,747.69/10,124.46 = 3,624.05/x
  3. Step 3: Cross multiply
    6,747.69x = 10,124.46 × 3,624.05
  4. Step 4: Simplify right side
    6,747.69x = 36,691,549.26
  5. Step 5: Solve for x
    x = 36,691,549.26/6,747.69
  6. Step 6: Final answer
    x = 5,437.65

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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.