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Finding the Fourth Proportional to 6,586.80, 9,880.56 and 2,203.86

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Solution

The fourth proportional to 6,586.80, 9,880.56 and 2,203.86 is: 3,305.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.80 : 9,880.56 = 2,203.86 : x
  2. Step 2: Convert to fraction form
    6,586.80/9,880.56 = 2,203.86/x
  3. Step 3: Cross multiply
    6,586.80x = 9,880.56 × 2,203.86
  4. Step 4: Simplify right side
    6,586.80x = 21,775,370.96
  5. Step 5: Solve for x
    x = 21,775,370.96/6,586.80
  6. Step 6: Final answer
    x = 3,305.91

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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.