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Finding the Fourth Proportional to 10,144.47, 15,205.94 and 5,986.44

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Solution

The fourth proportional to 10,144.47, 15,205.94 and 5,986.44 is: 8,973.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144.47 : 15,205.94 = 5,986.44 : x
  2. Step 2: Convert to fraction form
    10,144.47/15,205.94 = 5,986.44/x
  3. Step 3: Cross multiply
    10,144.47x = 15,205.94 × 5,986.44
  4. Step 4: Simplify right side
    10,144.47x = 91,029,417.52
  5. Step 5: Solve for x
    x = 91,029,417.52/10,144.47
  6. Step 6: Final answer
    x = 8,973.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.