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Finding the Fourth Proportional to 10,789.70, 16,154.42 and 5,513.36

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Solution

The fourth proportional to 10,789.70, 16,154.42 and 5,513.36 is: 8,254.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,789.70 : 16,154.42 = 5,513.36 : x
  2. Step 2: Convert to fraction form
    10,789.70/16,154.42 = 5,513.36/x
  3. Step 3: Cross multiply
    10,789.70x = 16,154.42 × 5,513.36
  4. Step 4: Simplify right side
    10,789.70x = 89,065,133.05
  5. Step 5: Solve for x
    x = 89,065,133.05/10,789.70
  6. Step 6: Final answer
    x = 8,254.64

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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.