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Finding the Fourth Proportional to 10,930.56, 16,400.64 and 5,735.22

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Solution

The fourth proportional to 10,930.56, 16,400.64 and 5,735.22 is: 8,605.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.56 : 16,400.64 = 5,735.22 : x
  2. Step 2: Convert to fraction form
    10,930.56/16,400.64 = 5,735.22/x
  3. Step 3: Cross multiply
    10,930.56x = 16,400.64 × 5,735.22
  4. Step 4: Simplify right side
    10,930.56x = 94,061,278.54
  5. Step 5: Solve for x
    x = 94,061,278.54/10,930.56
  6. Step 6: Final answer
    x = 8,605.35

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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.