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Finding the Fourth Proportional to 11,604.47, 16,014.17 and 6,299.27

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Solution

The fourth proportional to 11,604.47, 16,014.17 and 6,299.27 is: 8,693.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.47 : 16,014.17 = 6,299.27 : x
  2. Step 2: Convert to fraction form
    11,604.47/16,014.17 = 6,299.27/x
  3. Step 3: Cross multiply
    11,604.47x = 16,014.17 × 6,299.27
  4. Step 4: Simplify right side
    11,604.47x = 100,877,576.39
  5. Step 5: Solve for x
    x = 100,877,576.39/11,604.47
  6. Step 6: Final answer
    x = 8,693.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.