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Finding the Fourth Proportional to 8,309.34, 11,467.17 and 4,532.58

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Solution

The fourth proportional to 8,309.34, 11,467.17 and 4,532.58 is: 6,255.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.34 : 11,467.17 = 4,532.58 : x
  2. Step 2: Convert to fraction form
    8,309.34/11,467.17 = 4,532.58/x
  3. Step 3: Cross multiply
    8,309.34x = 11,467.17 × 4,532.58
  4. Step 4: Simplify right side
    8,309.34x = 51,975,865.40
  5. Step 5: Solve for x
    x = 51,975,865.40/8,309.34
  6. Step 6: Final answer
    x = 6,255.11

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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.