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Finding the Fourth Proportional to 10,696.96, 16,023.60 and 6,301.12

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Solution

The fourth proportional to 10,696.96, 16,023.60 and 6,301.12 is: 9,438.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.96 : 16,023.60 = 6,301.12 : x
  2. Step 2: Convert to fraction form
    10,696.96/16,023.60 = 6,301.12/x
  3. Step 3: Cross multiply
    10,696.96x = 16,023.60 × 6,301.12
  4. Step 4: Simplify right side
    10,696.96x = 100,966,626.43
  5. Step 5: Solve for x
    x = 100,966,626.43/10,696.96
  6. Step 6: Final answer
    x = 9,438.81

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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.