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Finding the Fourth Proportional to 7,894.08, 11,844 and 3,277.44

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Solution

The fourth proportional to 7,894.08, 11,844 and 3,277.44 is: 4,917.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.08 : 11,844 = 3,277.44 : x
  2. Step 2: Convert to fraction form
    7,894.08/11,844 = 3,277.44/x
  3. Step 3: Cross multiply
    7,894.08x = 11,844 × 3,277.44
  4. Step 4: Simplify right side
    7,894.08x = 38,817,999.36
  5. Step 5: Solve for x
    x = 38,817,999.36/7,894.08
  6. Step 6: Final answer
    x = 4,917.36

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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.