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Finding the Fourth Proportional to 11,367.87, 15,688.14 and 6,331.77

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Solution

The fourth proportional to 11,367.87, 15,688.14 and 6,331.77 is: 8,738.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,367.87 : 15,688.14 = 6,331.77 : x
  2. Step 2: Convert to fraction form
    11,367.87/15,688.14 = 6,331.77/x
  3. Step 3: Cross multiply
    11,367.87x = 15,688.14 × 6,331.77
  4. Step 4: Simplify right side
    11,367.87x = 99,333,694.21
  5. Step 5: Solve for x
    x = 99,333,694.21/11,367.87
  6. Step 6: Final answer
    x = 8,738.11

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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.