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Finding the Fourth Proportional to 7,881.95, 11,819.68 and 3,496.32

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Solution

The fourth proportional to 7,881.95, 11,819.68 and 3,496.32 is: 5,243.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.95 : 11,819.68 = 3,496.32 : x
  2. Step 2: Convert to fraction form
    7,881.95/11,819.68 = 3,496.32/x
  3. Step 3: Cross multiply
    7,881.95x = 11,819.68 × 3,496.32
  4. Step 4: Simplify right side
    7,881.95x = 41,325,374.84
  5. Step 5: Solve for x
    x = 41,325,374.84/7,881.95
  6. Step 6: Final answer
    x = 5,243.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.