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Finding the Fourth Proportional to 8,262.80, 12,396.22 and 3,875.14

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Solution

The fourth proportional to 8,262.80, 12,396.22 and 3,875.14 is: 5,813.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262.80 : 12,396.22 = 3,875.14 : x
  2. Step 2: Convert to fraction form
    8,262.80/12,396.22 = 3,875.14/x
  3. Step 3: Cross multiply
    8,262.80x = 12,396.22 × 3,875.14
  4. Step 4: Simplify right side
    8,262.80x = 48,037,047.29
  5. Step 5: Solve for x
    x = 48,037,047.29/8,262.80
  6. Step 6: Final answer
    x = 5,813.66

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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.