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Finding the Fourth Proportional to 8,201.88, 11,319.36 and 4,666.32

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Solution

The fourth proportional to 8,201.88, 11,319.36 and 4,666.32 is: 6,439.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.88 : 11,319.36 = 4,666.32 : x
  2. Step 2: Convert to fraction form
    8,201.88/11,319.36 = 4,666.32/x
  3. Step 3: Cross multiply
    8,201.88x = 11,319.36 × 4,666.32
  4. Step 4: Simplify right side
    8,201.88x = 52,819,755.96
  5. Step 5: Solve for x
    x = 52,819,755.96/8,201.88
  6. Step 6: Final answer
    x = 6,439.96

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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.