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Finding the Fourth Proportional to 7,883.84, 11,827.80 and 3,500.24

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Solution

The fourth proportional to 7,883.84, 11,827.80 and 3,500.24 is: 5,251.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883.84 : 11,827.80 = 3,500.24 : x
  2. Step 2: Convert to fraction form
    7,883.84/11,827.80 = 3,500.24/x
  3. Step 3: Cross multiply
    7,883.84x = 11,827.80 × 3,500.24
  4. Step 4: Simplify right side
    7,883.84x = 41,400,138.67
  5. Step 5: Solve for x
    x = 41,400,138.67/7,883.84
  6. Step 6: Final answer
    x = 5,251.27

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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.