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Finding the Fourth Proportional to 6,702.35, 10,046.23 and 3,414.56

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Solution

The fourth proportional to 6,702.35, 10,046.23 and 3,414.56 is: 5,118.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.35 : 10,046.23 = 3,414.56 : x
  2. Step 2: Convert to fraction form
    6,702.35/10,046.23 = 3,414.56/x
  3. Step 3: Cross multiply
    6,702.35x = 10,046.23 × 3,414.56
  4. Step 4: Simplify right side
    6,702.35x = 34,303,396.34
  5. Step 5: Solve for x
    x = 34,303,396.34/6,702.35
  6. Step 6: Final answer
    x = 5,118.12

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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.