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Finding the Fourth Proportional to 7,883.87, 11,819.40 and 3,206.07

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Solution

The fourth proportional to 7,883.87, 11,819.40 and 3,206.07 is: 4,806.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883.87 : 11,819.40 = 3,206.07 : x
  2. Step 2: Convert to fraction form
    7,883.87/11,819.40 = 3,206.07/x
  3. Step 3: Cross multiply
    7,883.87x = 11,819.40 × 3,206.07
  4. Step 4: Simplify right side
    7,883.87x = 37,893,823.76
  5. Step 5: Solve for x
    x = 37,893,823.76/7,883.87
  6. Step 6: Final answer
    x = 4,806.50

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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.