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Finding the Fourth Proportional to 11,715.22, 16,166.86 and 6,409.96

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Solution

The fourth proportional to 11,715.22, 16,166.86 and 6,409.96 is: 8,845.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,715.22 : 16,166.86 = 6,409.96 : x
  2. Step 2: Convert to fraction form
    11,715.22/16,166.86 = 6,409.96/x
  3. Step 3: Cross multiply
    11,715.22x = 16,166.86 × 6,409.96
  4. Step 4: Simplify right side
    11,715.22x = 103,628,925.93
  5. Step 5: Solve for x
    x = 103,628,925.93/11,715.22
  6. Step 6: Final answer
    x = 8,845.67

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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.