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Finding the Fourth Proportional to 8,309.61, 11,467.29 and 4,532.75

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Solution

The fourth proportional to 8,309.61, 11,467.29 and 4,532.75 is: 6,255.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.61 : 11,467.29 = 4,532.75 : x
  2. Step 2: Convert to fraction form
    8,309.61/11,467.29 = 4,532.75/x
  3. Step 3: Cross multiply
    8,309.61x = 11,467.29 × 4,532.75
  4. Step 4: Simplify right side
    8,309.61x = 51,978,278.75
  5. Step 5: Solve for x
    x = 51,978,278.75/8,309.61
  6. Step 6: Final answer
    x = 6,255.20

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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.