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Finding the Fourth Proportional to 7,762.14, 11,647.98 and 3,081.33

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Solution

The fourth proportional to 7,762.14, 11,647.98 and 3,081.33 is: 4,623.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.14 : 11,647.98 = 3,081.33 : x
  2. Step 2: Convert to fraction form
    7,762.14/11,647.98 = 3,081.33/x
  3. Step 3: Cross multiply
    7,762.14x = 11,647.98 × 3,081.33
  4. Step 4: Simplify right side
    7,762.14x = 35,891,270.21
  5. Step 5: Solve for x
    x = 35,891,270.21/7,762.14
  6. Step 6: Final answer
    x = 4,623.89

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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.