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Finding the Fourth Proportional to 8,309.75, 11,466.56 and 4,773.47

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Solution

The fourth proportional to 8,309.75, 11,466.56 and 4,773.47 is: 6,586.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.75 : 11,466.56 = 4,773.47 : x
  2. Step 2: Convert to fraction form
    8,309.75/11,466.56 = 4,773.47/x
  3. Step 3: Cross multiply
    8,309.75x = 11,466.56 × 4,773.47
  4. Step 4: Simplify right side
    8,309.75x = 54,735,256.30
  5. Step 5: Solve for x
    x = 54,735,256.30/8,309.75
  6. Step 6: Final answer
    x = 6,586.87

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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.