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Finding the Fourth Proportional to 8,194.42, 11,308.30 and 4,657.63

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Solution

The fourth proportional to 8,194.42, 11,308.30 and 4,657.63 is: 6,427.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.42 : 11,308.30 = 4,657.63 : x
  2. Step 2: Convert to fraction form
    8,194.42/11,308.30 = 4,657.63/x
  3. Step 3: Cross multiply
    8,194.42x = 11,308.30 × 4,657.63
  4. Step 4: Simplify right side
    8,194.42x = 52,669,809.14
  5. Step 5: Solve for x
    x = 52,669,809.14/8,194.42
  6. Step 6: Final answer
    x = 6,427.53

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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.