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Finding the Fourth Proportional to 7,904.24, 11,853.84 and 3,224.24

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Solution

The fourth proportional to 7,904.24, 11,853.84 and 3,224.24 is: 4,835.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,904.24 : 11,853.84 = 3,224.24 : x
  2. Step 2: Convert to fraction form
    7,904.24/11,853.84 = 3,224.24/x
  3. Step 3: Cross multiply
    7,904.24x = 11,853.84 × 3,224.24
  4. Step 4: Simplify right side
    7,904.24x = 38,219,625.08
  5. Step 5: Solve for x
    x = 38,219,625.08/7,904.24
  6. Step 6: Final answer
    x = 4,835.33

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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.