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Finding the Fourth Proportional to 8,166.96, 12,248.82 and 2,323.62

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Solution

The fourth proportional to 8,166.96, 12,248.82 and 2,323.62 is: 3,484.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,166.96 : 12,248.82 = 2,323.62 : x
  2. Step 2: Convert to fraction form
    8,166.96/12,248.82 = 2,323.62/x
  3. Step 3: Cross multiply
    8,166.96x = 12,248.82 × 2,323.62
  4. Step 4: Simplify right side
    8,166.96x = 28,461,603.13
  5. Step 5: Solve for x
    x = 28,461,603.13/8,166.96
  6. Step 6: Final answer
    x = 3,484.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.