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Finding the Fourth Proportional to 8,364.74, 11,542.20 and 5,006.78

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Solution

The fourth proportional to 8,364.74, 11,542.20 and 5,006.78 is: 6,908.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.74 : 11,542.20 = 5,006.78 : x
  2. Step 2: Convert to fraction form
    8,364.74/11,542.20 = 5,006.78/x
  3. Step 3: Cross multiply
    8,364.74x = 11,542.20 × 5,006.78
  4. Step 4: Simplify right side
    8,364.74x = 57,789,256.12
  5. Step 5: Solve for x
    x = 57,789,256.12/8,364.74
  6. Step 6: Final answer
    x = 6,908.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.