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Finding the Fourth Proportional to 10,657.38, 15,993.21 and 6,711.36

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Solution

The fourth proportional to 10,657.38, 15,993.21 and 6,711.36 is: 10,071.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.38 : 15,993.21 = 6,711.36 : x
  2. Step 2: Convert to fraction form
    10,657.38/15,993.21 = 6,711.36/x
  3. Step 3: Cross multiply
    10,657.38x = 15,993.21 × 6,711.36
  4. Step 4: Simplify right side
    10,657.38x = 107,336,189.87
  5. Step 5: Solve for x
    x = 107,336,189.87/10,657.38
  6. Step 6: Final answer
    x = 10,071.54

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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.