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Finding the Fourth Proportional to 6,936.37, 10,427.11 and 5,564.71

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Solution

The fourth proportional to 6,936.37, 10,427.11 and 5,564.71 is: 8,365.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,936.37 : 10,427.11 = 5,564.71 : x
  2. Step 2: Convert to fraction form
    6,936.37/10,427.11 = 5,564.71/x
  3. Step 3: Cross multiply
    6,936.37x = 10,427.11 × 5,564.71
  4. Step 4: Simplify right side
    6,936.37x = 58,023,842.41
  5. Step 5: Solve for x
    x = 58,023,842.41/6,936.37
  6. Step 6: Final answer
    x = 8,365.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.