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Finding the Fourth Proportional to 7,866.26, 10,851.81 and 5,072.66

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Solution

The fourth proportional to 7,866.26, 10,851.81 and 5,072.66 is: 6,997.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.26 : 10,851.81 = 5,072.66 : x
  2. Step 2: Convert to fraction form
    7,866.26/10,851.81 = 5,072.66/x
  3. Step 3: Cross multiply
    7,866.26x = 10,851.81 × 5,072.66
  4. Step 4: Simplify right side
    7,866.26x = 55,047,542.51
  5. Step 5: Solve for x
    x = 55,047,542.51/7,866.26
  6. Step 6: Final answer
    x = 6,997.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.