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Finding the Fourth Proportional to 10,890.47, 16,313.83 and 9,217.42

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Solution

The fourth proportional to 10,890.47, 16,313.83 and 9,217.42 is: 13,807.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,890.47 : 16,313.83 = 9,217.42 : x
  2. Step 2: Convert to fraction form
    10,890.47/16,313.83 = 9,217.42/x
  3. Step 3: Cross multiply
    10,890.47x = 16,313.83 × 9,217.42
  4. Step 4: Simplify right side
    10,890.47x = 150,371,422.92
  5. Step 5: Solve for x
    x = 150,371,422.92/10,890.47
  6. Step 6: Final answer
    x = 13,807.62

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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.