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Finding the Fourth Proportional to 8,166.95, 11,265.59 and 5,137.25

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Solution

The fourth proportional to 8,166.95, 11,265.59 and 5,137.25 is: 7,086.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,166.95 : 11,265.59 = 5,137.25 : x
  2. Step 2: Convert to fraction form
    8,166.95/11,265.59 = 5,137.25/x
  3. Step 3: Cross multiply
    8,166.95x = 11,265.59 × 5,137.25
  4. Step 4: Simplify right side
    8,166.95x = 57,874,070.21
  5. Step 5: Solve for x
    x = 57,874,070.21/8,166.95
  6. Step 6: Final answer
    x = 7,086.37

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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.