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Finding the Fourth Proportional to 8,821.91, 12,174.66 and 4,842.98

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Solution

The fourth proportional to 8,821.91, 12,174.66 and 4,842.98 is: 6,683.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,821.91 : 12,174.66 = 4,842.98 : x
  2. Step 2: Convert to fraction form
    8,821.91/12,174.66 = 4,842.98/x
  3. Step 3: Cross multiply
    8,821.91x = 12,174.66 × 4,842.98
  4. Step 4: Simplify right side
    8,821.91x = 58,961,574.01
  5. Step 5: Solve for x
    x = 58,961,574.01/8,821.91
  6. Step 6: Final answer
    x = 6,683.54

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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.