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Finding the Fourth Proportional to 11,861.74, 16,368.96 and 6,556.57

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Solution

The fourth proportional to 11,861.74, 16,368.96 and 6,556.57 is: 9,047.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,861.74 : 16,368.96 = 6,556.57 : x
  2. Step 2: Convert to fraction form
    11,861.74/16,368.96 = 6,556.57/x
  3. Step 3: Cross multiply
    11,861.74x = 16,368.96 × 6,556.57
  4. Step 4: Simplify right side
    11,861.74x = 107,324,232.07
  5. Step 5: Solve for x
    x = 107,324,232.07/11,861.74
  6. Step 6: Final answer
    x = 9,047.93

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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.