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Finding the Fourth Proportional to 7,768.77, 11,654.87 and 2,838.40

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Solution

The fourth proportional to 7,768.77, 11,654.87 and 2,838.40 is: 4,258.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.77 : 11,654.87 = 2,838.40 : x
  2. Step 2: Convert to fraction form
    7,768.77/11,654.87 = 2,838.40/x
  3. Step 3: Cross multiply
    7,768.77x = 11,654.87 × 2,838.40
  4. Step 4: Simplify right side
    7,768.77x = 33,081,110.54
  5. Step 5: Solve for x
    x = 33,081,110.54/7,768.77
  6. Step 6: Final answer
    x = 4,258.22

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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.