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Finding the Fourth Proportional to 10,789.69, 16,190.83 and 4,549.32

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Solution

The fourth proportional to 10,789.69, 16,190.83 and 4,549.32 is: 6,826.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,789.69 : 16,190.83 = 4,549.32 : x
  2. Step 2: Convert to fraction form
    10,789.69/16,190.83 = 4,549.32/x
  3. Step 3: Cross multiply
    10,789.69x = 16,190.83 × 4,549.32
  4. Step 4: Simplify right side
    10,789.69x = 73,657,266.74
  5. Step 5: Solve for x
    x = 73,657,266.74/10,789.69
  6. Step 6: Final answer
    x = 6,826.63

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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.