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Finding the Fourth Proportional to 6,902.67, 10,340.93 and 4,083.07

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Solution

The fourth proportional to 6,902.67, 10,340.93 and 4,083.07 is: 6,116.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.67 : 10,340.93 = 4,083.07 : x
  2. Step 2: Convert to fraction form
    6,902.67/10,340.93 = 4,083.07/x
  3. Step 3: Cross multiply
    6,902.67x = 10,340.93 × 4,083.07
  4. Step 4: Simplify right side
    6,902.67x = 42,222,741.06
  5. Step 5: Solve for x
    x = 42,222,741.06/6,902.67
  6. Step 6: Final answer
    x = 6,116.87

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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.