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Finding the Fourth Proportional to 7,806.12, 11,696.18 and 5,492.76

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Solution

The fourth proportional to 7,806.12, 11,696.18 and 5,492.76 is: 8,229.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.12 : 11,696.18 = 5,492.76 : x
  2. Step 2: Convert to fraction form
    7,806.12/11,696.18 = 5,492.76/x
  3. Step 3: Cross multiply
    7,806.12x = 11,696.18 × 5,492.76
  4. Step 4: Simplify right side
    7,806.12x = 64,244,309.66
  5. Step 5: Solve for x
    x = 64,244,309.66/7,806.12
  6. Step 6: Final answer
    x = 8,229.99

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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.