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Finding the Fourth Proportional to 8,309.50, 11,466.96 and 4,532.54

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Solution

The fourth proportional to 8,309.50, 11,466.96 and 4,532.54 is: 6,254.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.50 : 11,466.96 = 4,532.54 : x
  2. Step 2: Convert to fraction form
    8,309.50/11,466.96 = 4,532.54/x
  3. Step 3: Cross multiply
    8,309.50x = 11,466.96 × 4,532.54
  4. Step 4: Simplify right side
    8,309.50x = 51,974,454.88
  5. Step 5: Solve for x
    x = 51,974,454.88/8,309.50
  6. Step 6: Final answer
    x = 6,254.82

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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.