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Finding the Fourth Proportional to 8,006.16, 11,956.68 and 6,823.56

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Solution

The fourth proportional to 8,006.16, 11,956.68 and 6,823.56 is: 10,190.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,006.16 : 11,956.68 = 6,823.56 : x
  2. Step 2: Convert to fraction form
    8,006.16/11,956.68 = 6,823.56/x
  3. Step 3: Cross multiply
    8,006.16x = 11,956.68 × 6,823.56
  4. Step 4: Simplify right side
    8,006.16x = 81,587,123.38
  5. Step 5: Solve for x
    x = 81,587,123.38/8,006.16
  6. Step 6: Final answer
    x = 10,190.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.