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Finding the Fourth Proportional to 6,736.08, 10,085.49 and 3,442.08

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Solution

The fourth proportional to 6,736.08, 10,085.49 and 3,442.08 is: 5,153.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,736.08 : 10,085.49 = 3,442.08 : x
  2. Step 2: Convert to fraction form
    6,736.08/10,085.49 = 3,442.08/x
  3. Step 3: Cross multiply
    6,736.08x = 10,085.49 × 3,442.08
  4. Step 4: Simplify right side
    6,736.08x = 34,715,063.42
  5. Step 5: Solve for x
    x = 34,715,063.42/6,736.08
  6. Step 6: Final answer
    x = 5,153.60

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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.