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Finding the Fourth Proportional to 10,678.73, 16,023.63 and 7,578.68

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Solution

The fourth proportional to 10,678.73, 16,023.63 and 7,578.68 is: 11,371.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.73 : 16,023.63 = 7,578.68 : x
  2. Step 2: Convert to fraction form
    10,678.73/16,023.63 = 7,578.68/x
  3. Step 3: Cross multiply
    10,678.73x = 16,023.63 × 7,578.68
  4. Step 4: Simplify right side
    10,678.73x = 121,437,964.21
  5. Step 5: Solve for x
    x = 121,437,964.21/10,678.73
  6. Step 6: Final answer
    x = 11,371.95

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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.