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Finding the Fourth Proportional to 10,913.26, 16,358.68 and 6,223.68

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Solution

The fourth proportional to 10,913.26, 16,358.68 and 6,223.68 is: 9,329.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,913.26 : 16,358.68 = 6,223.68 : x
  2. Step 2: Convert to fraction form
    10,913.26/16,358.68 = 6,223.68/x
  3. Step 3: Cross multiply
    10,913.26x = 16,358.68 × 6,223.68
  4. Step 4: Simplify right side
    10,913.26x = 101,811,189.54
  5. Step 5: Solve for x
    x = 101,811,189.54/10,913.26
  6. Step 6: Final answer
    x = 9,329.13

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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.