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Finding the Fourth Proportional to 8,023.80, 11,072.52 and 4,666.71

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Solution

The fourth proportional to 8,023.80, 11,072.52 and 4,666.71 is: 6,439.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,023.80 : 11,072.52 = 4,666.71 : x
  2. Step 2: Convert to fraction form
    8,023.80/11,072.52 = 4,666.71/x
  3. Step 3: Cross multiply
    8,023.80x = 11,072.52 × 4,666.71
  4. Step 4: Simplify right side
    8,023.80x = 51,672,239.81
  5. Step 5: Solve for x
    x = 51,672,239.81/8,023.80
  6. Step 6: Final answer
    x = 6,439.87

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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.