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Finding the Fourth Proportional to 10,814.97, 16,216.92 and 4,966.50

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Solution

The fourth proportional to 10,814.97, 16,216.92 and 4,966.50 is: 7,447.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.97 : 16,216.92 = 4,966.50 : x
  2. Step 2: Convert to fraction form
    10,814.97/16,216.92 = 4,966.50/x
  3. Step 3: Cross multiply
    10,814.97x = 16,216.92 × 4,966.50
  4. Step 4: Simplify right side
    10,814.97x = 80,541,333.18
  5. Step 5: Solve for x
    x = 80,541,333.18/10,814.97
  6. Step 6: Final answer
    x = 7,447.21

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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.