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Finding the Fourth Proportional to 13,611.88, 18,784.38 and 7,950.52

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Solution

The fourth proportional to 13,611.88, 18,784.38 and 7,950.52 is: 10,971.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,611.88 : 18,784.38 = 7,950.52 : x
  2. Step 2: Convert to fraction form
    13,611.88/18,784.38 = 7,950.52/x
  3. Step 3: Cross multiply
    13,611.88x = 18,784.38 × 7,950.52
  4. Step 4: Simplify right side
    13,611.88x = 149,345,588.88
  5. Step 5: Solve for x
    x = 149,345,588.88/13,611.88
  6. Step 6: Final answer
    x = 10,971.71

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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.