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Finding the Fourth Proportional to 7,166.80, 9,871.77 and 5,485.24

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Solution

The fourth proportional to 7,166.80, 9,871.77 and 5,485.24 is: 7,555.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.80 : 9,871.77 = 5,485.24 : x
  2. Step 2: Convert to fraction form
    7,166.80/9,871.77 = 5,485.24/x
  3. Step 3: Cross multiply
    7,166.80x = 9,871.77 × 5,485.24
  4. Step 4: Simplify right side
    7,166.80x = 54,149,027.67
  5. Step 5: Solve for x
    x = 54,149,027.67/7,166.80
  6. Step 6: Final answer
    x = 7,555.54

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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.