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Finding the Fourth Proportional to 11,693.72, 16,136.55 and 6,658.46

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Solution

The fourth proportional to 11,693.72, 16,136.55 and 6,658.46 is: 9,188.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.72 : 16,136.55 = 6,658.46 : x
  2. Step 2: Convert to fraction form
    11,693.72/16,136.55 = 6,658.46/x
  3. Step 3: Cross multiply
    11,693.72x = 16,136.55 × 6,658.46
  4. Step 4: Simplify right side
    11,693.72x = 107,444,492.03
  5. Step 5: Solve for x
    x = 107,444,492.03/11,693.72
  6. Step 6: Final answer
    x = 9,188.23

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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.