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Finding the Fourth Proportional to 7,811.78, 11,716.34 and 3,428.06

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Solution

The fourth proportional to 7,811.78, 11,716.34 and 3,428.06 is: 5,141.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.78 : 11,716.34 = 3,428.06 : x
  2. Step 2: Convert to fraction form
    7,811.78/11,716.34 = 3,428.06/x
  3. Step 3: Cross multiply
    7,811.78x = 11,716.34 × 3,428.06
  4. Step 4: Simplify right side
    7,811.78x = 40,164,316.50
  5. Step 5: Solve for x
    x = 40,164,316.50/7,811.78
  6. Step 6: Final answer
    x = 5,141.51

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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.