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Finding the Fourth Proportional to 11,706.87, 16,155.48 and 6,401.69

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Solution

The fourth proportional to 11,706.87, 16,155.48 and 6,401.69 is: 8,834.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.87 : 16,155.48 = 6,401.69 : x
  2. Step 2: Convert to fraction form
    11,706.87/16,155.48 = 6,401.69/x
  3. Step 3: Cross multiply
    11,706.87x = 16,155.48 × 6,401.69
  4. Step 4: Simplify right side
    11,706.87x = 103,422,374.76
  5. Step 5: Solve for x
    x = 103,422,374.76/11,706.87
  6. Step 6: Final answer
    x = 8,834.33

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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.