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Finding the Fourth Proportional to 8,143.72, 12,216.78 and 2,948.38

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Solution

The fourth proportional to 8,143.72, 12,216.78 and 2,948.38 is: 4,423.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.72 : 12,216.78 = 2,948.38 : x
  2. Step 2: Convert to fraction form
    8,143.72/12,216.78 = 2,948.38/x
  3. Step 3: Cross multiply
    8,143.72x = 12,216.78 × 2,948.38
  4. Step 4: Simplify right side
    8,143.72x = 36,019,709.82
  5. Step 5: Solve for x
    x = 36,019,709.82/8,143.72
  6. Step 6: Final answer
    x = 4,423.00

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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.