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Finding the Fourth Proportional to 11,693.34, 16,136.19 and 6,656.76

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Solution

The fourth proportional to 11,693.34, 16,136.19 and 6,656.76 is: 9,185.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.34 : 16,136.19 = 6,656.76 : x
  2. Step 2: Convert to fraction form
    11,693.34/16,136.19 = 6,656.76/x
  3. Step 3: Cross multiply
    11,693.34x = 16,136.19 × 6,656.76
  4. Step 4: Simplify right side
    11,693.34x = 107,414,744.14
  5. Step 5: Solve for x
    x = 107,414,744.14/11,693.34
  6. Step 6: Final answer
    x = 9,185.98

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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.