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Finding the Fourth Proportional to 10,650.16, 14,695.86 and 5,933.80

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Solution

The fourth proportional to 10,650.16, 14,695.86 and 5,933.80 is: 8,187.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,650.16 : 14,695.86 = 5,933.80 : x
  2. Step 2: Convert to fraction form
    10,650.16/14,695.86 = 5,933.80/x
  3. Step 3: Cross multiply
    10,650.16x = 14,695.86 × 5,933.80
  4. Step 4: Simplify right side
    10,650.16x = 87,202,294.07
  5. Step 5: Solve for x
    x = 87,202,294.07/10,650.16
  6. Step 6: Final answer
    x = 8,187.89

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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.