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Finding the Fourth Proportional to 11,706.39, 16,154.60 and 6,401.19

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Solution

The fourth proportional to 11,706.39, 16,154.60 and 6,401.19 is: 8,833.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.39 : 16,154.60 = 6,401.19 : x
  2. Step 2: Convert to fraction form
    11,706.39/16,154.60 = 6,401.19/x
  3. Step 3: Cross multiply
    11,706.39x = 16,154.60 × 6,401.19
  4. Step 4: Simplify right side
    11,706.39x = 103,408,631.97
  5. Step 5: Solve for x
    x = 103,408,631.97/11,706.39
  6. Step 6: Final answer
    x = 8,833.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.