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Finding the Fourth Proportional to 10,789.57, 14,889.89 and 6,074.02

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Solution

The fourth proportional to 10,789.57, 14,889.89 and 6,074.02 is: 8,382.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,789.57 : 14,889.89 = 6,074.02 : x
  2. Step 2: Convert to fraction form
    10,789.57/14,889.89 = 6,074.02/x
  3. Step 3: Cross multiply
    10,789.57x = 14,889.89 × 6,074.02
  4. Step 4: Simplify right side
    10,789.57x = 90,441,489.66
  5. Step 5: Solve for x
    x = 90,441,489.66/10,789.57
  6. Step 6: Final answer
    x = 8,382.31

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Why These Related Problems?

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