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Finding the Fourth Proportional to 8,287.83, 11,436.85 and 4,511.00

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Solution

The fourth proportional to 8,287.83, 11,436.85 and 4,511.00 is: 6,224.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.83 : 11,436.85 = 4,511.00 : x
  2. Step 2: Convert to fraction form
    8,287.83/11,436.85 = 4,511.00/x
  3. Step 3: Cross multiply
    8,287.83x = 11,436.85 × 4,511.00
  4. Step 4: Simplify right side
    8,287.83x = 51,591,550.61
  5. Step 5: Solve for x
    x = 51,591,550.61/8,287.83
  6. Step 6: Final answer
    x = 6,224.98

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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.