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Finding the Fourth Proportional to 10,405.14, 14,366.61 and 6,431.70

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Solution

The fourth proportional to 10,405.14, 14,366.61 and 6,431.70 is: 8,880.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.14 : 14,366.61 = 6,431.70 : x
  2. Step 2: Convert to fraction form
    10,405.14/14,366.61 = 6,431.70/x
  3. Step 3: Cross multiply
    10,405.14x = 14,366.61 × 6,431.70
  4. Step 4: Simplify right side
    10,405.14x = 92,401,725.54
  5. Step 5: Solve for x
    x = 92,401,725.54/10,405.14
  6. Step 6: Final answer
    x = 8,880.39

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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.