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Finding the Fourth Proportional to 11,381.99, 15,713.69 and 7,611.57

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Solution

The fourth proportional to 11,381.99, 15,713.69 and 7,611.57 is: 10,508.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,381.99 : 15,713.69 = 7,611.57 : x
  2. Step 2: Convert to fraction form
    11,381.99/15,713.69 = 7,611.57/x
  3. Step 3: Cross multiply
    11,381.99x = 15,713.69 × 7,611.57
  4. Step 4: Simplify right side
    11,381.99x = 119,605,813.34
  5. Step 5: Solve for x
    x = 119,605,813.34/11,381.99
  6. Step 6: Final answer
    x = 10,508.34

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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.