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Finding the Fourth Proportional to 8,309.86, 11,467.47 and 4,533.07

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Solution

The fourth proportional to 8,309.86, 11,467.47 and 4,533.07 is: 6,255.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.86 : 11,467.47 = 4,533.07 : x
  2. Step 2: Convert to fraction form
    8,309.86/11,467.47 = 4,533.07/x
  3. Step 3: Cross multiply
    8,309.86x = 11,467.47 × 4,533.07
  4. Step 4: Simplify right side
    8,309.86x = 51,982,844.23
  5. Step 5: Solve for x
    x = 51,982,844.23/8,309.86
  6. Step 6: Final answer
    x = 6,255.56

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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.