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Finding the Fourth Proportional to 7,868.05, 11,806.18 and 3,191.51

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Solution

The fourth proportional to 7,868.05, 11,806.18 and 3,191.51 is: 4,788.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,868.05 : 11,806.18 = 3,191.51 : x
  2. Step 2: Convert to fraction form
    7,868.05/11,806.18 = 3,191.51/x
  3. Step 3: Cross multiply
    7,868.05x = 11,806.18 × 3,191.51
  4. Step 4: Simplify right side
    7,868.05x = 37,679,563.07
  5. Step 5: Solve for x
    x = 37,679,563.07/7,868.05
  6. Step 6: Final answer
    x = 4,788.93

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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.