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Finding the Fourth Proportional to 8,269.56, 11,415.72 and 5,289.41

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Solution

The fourth proportional to 8,269.56, 11,415.72 and 5,289.41 is: 7,301.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.56 : 11,415.72 = 5,289.41 : x
  2. Step 2: Convert to fraction form
    8,269.56/11,415.72 = 5,289.41/x
  3. Step 3: Cross multiply
    8,269.56x = 11,415.72 × 5,289.41
  4. Step 4: Simplify right side
    8,269.56x = 60,382,366.45
  5. Step 5: Solve for x
    x = 60,382,366.45/8,269.56
  6. Step 6: Final answer
    x = 7,301.76

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