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Finding the Fourth Proportional to 7,870.83, 11,806.27 and 3,190.92

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Solution

The fourth proportional to 7,870.83, 11,806.27 and 3,190.92 is: 4,786.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.83 : 11,806.27 = 3,190.92 : x
  2. Step 2: Convert to fraction form
    7,870.83/11,806.27 = 3,190.92/x
  3. Step 3: Cross multiply
    7,870.83x = 11,806.27 × 3,190.92
  4. Step 4: Simplify right side
    7,870.83x = 37,672,863.07
  5. Step 5: Solve for x
    x = 37,672,863.07/7,870.83
  6. Step 6: Final answer
    x = 4,786.39

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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.