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Finding the Fourth Proportional to 7,805.25, 11,704.23 and 2,607.48

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Solution

The fourth proportional to 7,805.25, 11,704.23 and 2,607.48 is: 3,910.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.25 : 11,704.23 = 2,607.48 : x
  2. Step 2: Convert to fraction form
    7,805.25/11,704.23 = 2,607.48/x
  3. Step 3: Cross multiply
    7,805.25x = 11,704.23 × 2,607.48
  4. Step 4: Simplify right side
    7,805.25x = 30,518,545.64
  5. Step 5: Solve for x
    x = 30,518,545.64/7,805.25
  6. Step 6: Final answer
    x = 3,910.00

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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.