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Finding the Fourth Proportional to 10,775.24, 16,083.88 and 9,983.69

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Solution

The fourth proportional to 10,775.24, 16,083.88 and 9,983.69 is: 14,902.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.24 : 16,083.88 = 9,983.69 : x
  2. Step 2: Convert to fraction form
    10,775.24/16,083.88 = 9,983.69/x
  3. Step 3: Cross multiply
    10,775.24x = 16,083.88 × 9,983.69
  4. Step 4: Simplify right side
    10,775.24x = 160,576,471.92
  5. Step 5: Solve for x
    x = 160,576,471.92/10,775.24
  6. Step 6: Final answer
    x = 14,902.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.