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Finding the Fourth Proportional to 7,866.73, 11,801.72 and 6,577.21

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Solution

The fourth proportional to 7,866.73, 11,801.72 and 6,577.21 is: 9,867.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.73 : 11,801.72 = 6,577.21 : x
  2. Step 2: Convert to fraction form
    7,866.73/11,801.72 = 6,577.21/x
  3. Step 3: Cross multiply
    7,866.73x = 11,801.72 × 6,577.21
  4. Step 4: Simplify right side
    7,866.73x = 77,622,390.80
  5. Step 5: Solve for x
    x = 77,622,390.80/7,866.73
  6. Step 6: Final answer
    x = 9,867.17

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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.