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Finding the Fourth Proportional to 8,142.50, 11,236.65 and 4,605.64

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Solution

The fourth proportional to 8,142.50, 11,236.65 and 4,605.64 is: 6,355.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.50 : 11,236.65 = 4,605.64 : x
  2. Step 2: Convert to fraction form
    8,142.50/11,236.65 = 4,605.64/x
  3. Step 3: Cross multiply
    8,142.50x = 11,236.65 × 4,605.64
  4. Step 4: Simplify right side
    8,142.50x = 51,751,908.52
  5. Step 5: Solve for x
    x = 51,751,908.52/8,142.50
  6. Step 6: Final answer
    x = 6,355.78

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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.