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Finding the Fourth Proportional to 7,601.16, 11,403.60 and 2,604

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Solution

The fourth proportional to 7,601.16, 11,403.60 and 2,604 is: 3,906.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,601.16 : 11,403.60 = 2,604 : x
  2. Step 2: Convert to fraction form
    7,601.16/11,403.60 = 2,604/x
  3. Step 3: Cross multiply
    7,601.16x = 11,403.60 × 2,604
  4. Step 4: Simplify right side
    7,601.16x = 29,694,974.40
  5. Step 5: Solve for x
    x = 29,694,974.40/7,601.16
  6. Step 6: Final answer
    x = 3,906.64

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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.