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Finding the Fourth Proportional to 8,309.76, 11,467.34 and 4,533.10

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Solution

The fourth proportional to 8,309.76, 11,467.34 and 4,533.10 is: 6,255.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.76 : 11,467.34 = 4,533.10 : x
  2. Step 2: Convert to fraction form
    8,309.76/11,467.34 = 4,533.10/x
  3. Step 3: Cross multiply
    8,309.76x = 11,467.34 × 4,533.10
  4. Step 4: Simplify right side
    8,309.76x = 51,982,564.62
  5. Step 5: Solve for x
    x = 51,982,564.62/8,309.76
  6. Step 6: Final answer
    x = 6,255.61

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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.