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Finding the Fourth Proportional to 10,164.67, 14,027.19 and 5,688.61

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Solution

The fourth proportional to 10,164.67, 14,027.19 and 5,688.61 is: 7,850.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,164.67 : 14,027.19 = 5,688.61 : x
  2. Step 2: Convert to fraction form
    10,164.67/14,027.19 = 5,688.61/x
  3. Step 3: Cross multiply
    10,164.67x = 14,027.19 × 5,688.61
  4. Step 4: Simplify right side
    10,164.67x = 79,795,213.31
  5. Step 5: Solve for x
    x = 79,795,213.31/10,164.67
  6. Step 6: Final answer
    x = 7,850.25

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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.