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Finding the Fourth Proportional to 10,793.67, 16,114.79 and 9,133.38

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Solution

The fourth proportional to 10,793.67, 16,114.79 and 9,133.38 is: 13,636.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,793.67 : 16,114.79 = 9,133.38 : x
  2. Step 2: Convert to fraction form
    10,793.67/16,114.79 = 9,133.38/x
  3. Step 3: Cross multiply
    10,793.67x = 16,114.79 × 9,133.38
  4. Step 4: Simplify right side
    10,793.67x = 147,182,500.69
  5. Step 5: Solve for x
    x = 147,182,500.69/10,793.67
  6. Step 6: Final answer
    x = 13,636.00

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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.