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Finding the Fourth Proportional to 8,278.50, 12,417.75 and 2,122.50

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Solution

The fourth proportional to 8,278.50, 12,417.75 and 2,122.50 is: 3,183.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.50 : 12,417.75 = 2,122.50 : x
  2. Step 2: Convert to fraction form
    8,278.50/12,417.75 = 2,122.50/x
  3. Step 3: Cross multiply
    8,278.50x = 12,417.75 × 2,122.50
  4. Step 4: Simplify right side
    8,278.50x = 26,356,674.38
  5. Step 5: Solve for x
    x = 26,356,674.38/8,278.50
  6. Step 6: Final answer
    x = 3,183.75

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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.