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Finding the Fourth Proportional to 6,164.34, 8,507.86 and 5,959.31

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Solution

The fourth proportional to 6,164.34, 8,507.86 and 5,959.31 is: 8,224.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.34 : 8,507.86 = 5,959.31 : x
  2. Step 2: Convert to fraction form
    6,164.34/8,507.86 = 5,959.31/x
  3. Step 3: Cross multiply
    6,164.34x = 8,507.86 × 5,959.31
  4. Step 4: Simplify right side
    6,164.34x = 50,700,965.60
  5. Step 5: Solve for x
    x = 50,700,965.60/6,164.34
  6. Step 6: Final answer
    x = 8,224.88

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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.