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Finding the Fourth Proportional to 8,821.95, 12,174.93 and 5,832.60

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Solution

The fourth proportional to 8,821.95, 12,174.93 and 5,832.60 is: 8,049.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,821.95 : 12,174.93 = 5,832.60 : x
  2. Step 2: Convert to fraction form
    8,821.95/12,174.93 = 5,832.60/x
  3. Step 3: Cross multiply
    8,821.95x = 12,174.93 × 5,832.60
  4. Step 4: Simplify right side
    8,821.95x = 71,011,496.72
  5. Step 5: Solve for x
    x = 71,011,496.72/8,821.95
  6. Step 6: Final answer
    x = 8,049.41

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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.