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Finding the Fourth Proportional to 10,182.67, 14,052.99 and 5,933.50

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Solution

The fourth proportional to 10,182.67, 14,052.99 and 5,933.50 is: 8,188.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,182.67 : 14,052.99 = 5,933.50 : x
  2. Step 2: Convert to fraction form
    10,182.67/14,052.99 = 5,933.50/x
  3. Step 3: Cross multiply
    10,182.67x = 14,052.99 × 5,933.50
  4. Step 4: Simplify right side
    10,182.67x = 83,383,416.17
  5. Step 5: Solve for x
    x = 83,383,416.17/10,182.67
  6. Step 6: Final answer
    x = 8,188.76

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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.