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Finding the Fourth Proportional to 8,327.58, 11,493 and 4,743.42

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Solution

The fourth proportional to 8,327.58, 11,493 and 4,743.42 is: 6,546.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,327.58 : 11,493 = 4,743.42 : x
  2. Step 2: Convert to fraction form
    8,327.58/11,493 = 4,743.42/x
  3. Step 3: Cross multiply
    8,327.58x = 11,493 × 4,743.42
  4. Step 4: Simplify right side
    8,327.58x = 54,516,126.06
  5. Step 5: Solve for x
    x = 54,516,126.06/8,327.58
  6. Step 6: Final answer
    x = 6,546.45

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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.