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Finding the Fourth Proportional to 12,911.39, 17,811.13 and 8,437.76

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Solution

The fourth proportional to 12,911.39, 17,811.13 and 8,437.76 is: 11,639.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,911.39 : 17,811.13 = 8,437.76 : x
  2. Step 2: Convert to fraction form
    12,911.39/17,811.13 = 8,437.76/x
  3. Step 3: Cross multiply
    12,911.39x = 17,811.13 × 8,437.76
  4. Step 4: Simplify right side
    12,911.39x = 150,286,040.27
  5. Step 5: Solve for x
    x = 150,286,040.27/12,911.39
  6. Step 6: Final answer
    x = 11,639.80

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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.