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Finding the Fourth Proportional to 8,166.56, 11,266.49 and 5,332.95

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Solution

The fourth proportional to 8,166.56, 11,266.49 and 5,332.95 is: 7,357.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,166.56 : 11,266.49 = 5,332.95 : x
  2. Step 2: Convert to fraction form
    8,166.56/11,266.49 = 5,332.95/x
  3. Step 3: Cross multiply
    8,166.56x = 11,266.49 × 5,332.95
  4. Step 4: Simplify right side
    8,166.56x = 60,083,601.18
  5. Step 5: Solve for x
    x = 60,083,601.18/8,166.56
  6. Step 6: Final answer
    x = 7,357.28

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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.