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Finding the Fourth Proportional to 10,690.71, 16,022.91 and 6,000.87

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Solution

The fourth proportional to 10,690.71, 16,022.91 and 6,000.87 is: 8,993.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690.71 : 16,022.91 = 6,000.87 : x
  2. Step 2: Convert to fraction form
    10,690.71/16,022.91 = 6,000.87/x
  3. Step 3: Cross multiply
    10,690.71x = 16,022.91 × 6,000.87
  4. Step 4: Simplify right side
    10,690.71x = 96,151,399.93
  5. Step 5: Solve for x
    x = 96,151,399.93/10,690.71
  6. Step 6: Final answer
    x = 8,993.92

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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.