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Finding the Fourth Proportional to 11,706.72, 16,155.72 and 6,401.22

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Solution

The fourth proportional to 11,706.72, 16,155.72 and 6,401.22 is: 8,833.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.72 : 16,155.72 = 6,401.22 : x
  2. Step 2: Convert to fraction form
    11,706.72/16,155.72 = 6,401.22/x
  3. Step 3: Cross multiply
    11,706.72x = 16,155.72 × 6,401.22
  4. Step 4: Simplify right side
    11,706.72x = 103,416,317.98
  5. Step 5: Solve for x
    x = 103,416,317.98/11,706.72
  6. Step 6: Final answer
    x = 8,833.93

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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.