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Finding the Fourth Proportional to 12,078.58, 18,086.94 and 7,151.76

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Solution

The fourth proportional to 12,078.58, 18,086.94 and 7,151.76 is: 10,709.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,078.58 : 18,086.94 = 7,151.76 : x
  2. Step 2: Convert to fraction form
    12,078.58/18,086.94 = 7,151.76/x
  3. Step 3: Cross multiply
    12,078.58x = 18,086.94 × 7,151.76
  4. Step 4: Simplify right side
    12,078.58x = 129,353,454.01
  5. Step 5: Solve for x
    x = 129,353,454.01/12,078.58
  6. Step 6: Final answer
    x = 10,709.33

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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.