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Finding the Fourth Proportional to 6,735.98, 10,104.52 and 2,056.38

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Solution

The fourth proportional to 6,735.98, 10,104.52 and 2,056.38 is: 3,084.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.98 : 10,104.52 = 2,056.38 : x
  2. Step 2: Convert to fraction form
    6,735.98/10,104.52 = 2,056.38/x
  3. Step 3: Cross multiply
    6,735.98x = 10,104.52 × 2,056.38
  4. Step 4: Simplify right side
    6,735.98x = 20,778,732.84
  5. Step 5: Solve for x
    x = 20,778,732.84/6,735.98
  6. Step 6: Final answer
    x = 3,084.74

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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.