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Finding the Fourth Proportional to 8,269.76, 11,410.66 and 5,283.30

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Solution

The fourth proportional to 8,269.76, 11,410.66 and 5,283.30 is: 7,289.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.76 : 11,410.66 = 5,283.30 : x
  2. Step 2: Convert to fraction form
    8,269.76/11,410.66 = 5,283.30/x
  3. Step 3: Cross multiply
    8,269.76x = 11,410.66 × 5,283.30
  4. Step 4: Simplify right side
    8,269.76x = 60,285,939.98
  5. Step 5: Solve for x
    x = 60,285,939.98/8,269.76
  6. Step 6: Final answer
    x = 7,289.93

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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.