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Finding the Fourth Proportional to 6,702.84, 10,040.70 and 3,196.26

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Solution

The fourth proportional to 6,702.84, 10,040.70 and 3,196.26 is: 4,787.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.84 : 10,040.70 = 3,196.26 : x
  2. Step 2: Convert to fraction form
    6,702.84/10,040.70 = 3,196.26/x
  3. Step 3: Cross multiply
    6,702.84x = 10,040.70 × 3,196.26
  4. Step 4: Simplify right side
    6,702.84x = 32,092,687.78
  5. Step 5: Solve for x
    x = 32,092,687.78/6,702.84
  6. Step 6: Final answer
    x = 4,787.92

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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.