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Finding the Fourth Proportional to 10,533.69, 15,799.67 and 3,138.15

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Solution

The fourth proportional to 10,533.69, 15,799.67 and 3,138.15 is: 4,706.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,533.69 : 15,799.67 = 3,138.15 : x
  2. Step 2: Convert to fraction form
    10,533.69/15,799.67 = 3,138.15/x
  3. Step 3: Cross multiply
    10,533.69x = 15,799.67 × 3,138.15
  4. Step 4: Simplify right side
    10,533.69x = 49,581,734.41
  5. Step 5: Solve for x
    x = 49,581,734.41/10,533.69
  6. Step 6: Final answer
    x = 4,706.97

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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.