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Finding the Fourth Proportional to 8,225.30, 12,338.10 and 2,678.62

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Solution

The fourth proportional to 8,225.30, 12,338.10 and 2,678.62 is: 4,017.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,225.30 : 12,338.10 = 2,678.62 : x
  2. Step 2: Convert to fraction form
    8,225.30/12,338.10 = 2,678.62/x
  3. Step 3: Cross multiply
    8,225.30x = 12,338.10 × 2,678.62
  4. Step 4: Simplify right side
    8,225.30x = 33,049,081.42
  5. Step 5: Solve for x
    x = 33,049,081.42/8,225.30
  6. Step 6: Final answer
    x = 4,017.98

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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.