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Finding the Fourth Proportional to 6,736.94, 10,099.16 and 3,442.77

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Solution

The fourth proportional to 6,736.94, 10,099.16 and 3,442.77 is: 5,160.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,736.94 : 10,099.16 = 3,442.77 : x
  2. Step 2: Convert to fraction form
    6,736.94/10,099.16 = 3,442.77/x
  3. Step 3: Cross multiply
    6,736.94x = 10,099.16 × 3,442.77
  4. Step 4: Simplify right side
    6,736.94x = 34,769,085.07
  5. Step 5: Solve for x
    x = 34,769,085.07/6,736.94
  6. Step 6: Final answer
    x = 5,160.96

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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.