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Finding the Fourth Proportional to 11,693.22, 16,135.99 and 6,658.67

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Solution

The fourth proportional to 11,693.22, 16,135.99 and 6,658.67 is: 9,188.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.22 : 16,135.99 = 6,658.67 : x
  2. Step 2: Convert to fraction form
    11,693.22/16,135.99 = 6,658.67/x
  3. Step 3: Cross multiply
    11,693.22x = 16,135.99 × 6,658.67
  4. Step 4: Simplify right side
    11,693.22x = 107,444,232.53
  5. Step 5: Solve for x
    x = 107,444,232.53/11,693.22
  6. Step 6: Final answer
    x = 9,188.59

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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.