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Finding the Fourth Proportional to 8,282.88, 12,428.64 and 3,356.16

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Solution

The fourth proportional to 8,282.88, 12,428.64 and 3,356.16 is: 5,035.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.88 : 12,428.64 = 3,356.16 : x
  2. Step 2: Convert to fraction form
    8,282.88/12,428.64 = 3,356.16/x
  3. Step 3: Cross multiply
    8,282.88x = 12,428.64 × 3,356.16
  4. Step 4: Simplify right side
    8,282.88x = 41,712,504.42
  5. Step 5: Solve for x
    x = 41,712,504.42/8,282.88
  6. Step 6: Final answer
    x = 5,035.99

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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.