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Finding the Fourth Proportional to 10,194.58, 14,049.47 and 7,952.90

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Solution

The fourth proportional to 10,194.58, 14,049.47 and 7,952.90 is: 10,960.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.58 : 14,049.47 = 7,952.90 : x
  2. Step 2: Convert to fraction form
    10,194.58/14,049.47 = 7,952.90/x
  3. Step 3: Cross multiply
    10,194.58x = 14,049.47 × 7,952.90
  4. Step 4: Simplify right side
    10,194.58x = 111,734,029.96
  5. Step 5: Solve for x
    x = 111,734,029.96/10,194.58
  6. Step 6: Final answer
    x = 10,960.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.