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Finding the Fourth Proportional to 7,594.16, 11,391.96 and 2,400.80

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Solution

The fourth proportional to 7,594.16, 11,391.96 and 2,400.80 is: 3,601.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,594.16 : 11,391.96 = 2,400.80 : x
  2. Step 2: Convert to fraction form
    7,594.16/11,391.96 = 2,400.80/x
  3. Step 3: Cross multiply
    7,594.16x = 11,391.96 × 2,400.80
  4. Step 4: Simplify right side
    7,594.16x = 27,349,817.57
  5. Step 5: Solve for x
    x = 27,349,817.57/7,594.16
  6. Step 6: Final answer
    x = 3,601.43

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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.