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Finding the Fourth Proportional to 6,818.16, 10,212.84 and 3,123.48

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Solution

The fourth proportional to 6,818.16, 10,212.84 and 3,123.48 is: 4,678.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,818.16 : 10,212.84 = 3,123.48 : x
  2. Step 2: Convert to fraction form
    6,818.16/10,212.84 = 3,123.48/x
  3. Step 3: Cross multiply
    6,818.16x = 10,212.84 × 3,123.48
  4. Step 4: Simplify right side
    6,818.16x = 31,899,601.48
  5. Step 5: Solve for x
    x = 31,899,601.48/6,818.16
  6. Step 6: Final answer
    x = 4,678.62

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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.