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Finding the Fourth Proportional to 7,735.60, 11,604.66 and 2,540.26

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Solution

The fourth proportional to 7,735.60, 11,604.66 and 2,540.26 is: 3,810.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.60 : 11,604.66 = 2,540.26 : x
  2. Step 2: Convert to fraction form
    7,735.60/11,604.66 = 2,540.26/x
  3. Step 3: Cross multiply
    7,735.60x = 11,604.66 × 2,540.26
  4. Step 4: Simplify right side
    7,735.60x = 29,478,853.61
  5. Step 5: Solve for x
    x = 29,478,853.61/7,735.60
  6. Step 6: Final answer
    x = 3,810.80

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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.