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Finding the Fourth Proportional to 10,696.26, 16,031.02 and 5,148.12

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Solution

The fourth proportional to 10,696.26, 16,031.02 and 5,148.12 is: 7,715.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.26 : 16,031.02 = 5,148.12 : x
  2. Step 2: Convert to fraction form
    10,696.26/16,031.02 = 5,148.12/x
  3. Step 3: Cross multiply
    10,696.26x = 16,031.02 × 5,148.12
  4. Step 4: Simplify right side
    10,696.26x = 82,529,614.68
  5. Step 5: Solve for x
    x = 82,529,614.68/10,696.26
  6. Step 6: Final answer
    x = 7,715.75

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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.