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Finding the Fourth Proportional to 6,838.93, 10,277.64 and 4,066.10

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Solution

The fourth proportional to 6,838.93, 10,277.64 and 4,066.10 is: 6,110.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.93 : 10,277.64 = 4,066.10 : x
  2. Step 2: Convert to fraction form
    6,838.93/10,277.64 = 4,066.10/x
  3. Step 3: Cross multiply
    6,838.93x = 10,277.64 × 4,066.10
  4. Step 4: Simplify right side
    6,838.93x = 41,789,912.00
  5. Step 5: Solve for x
    x = 41,789,912.00/6,838.93
  6. Step 6: Final answer
    x = 6,110.59

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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.