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Finding the Fourth Proportional to 8,194.88, 11,308.96 and 4,657.28

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Solution

The fourth proportional to 8,194.88, 11,308.96 and 4,657.28 is: 6,427.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.88 : 11,308.96 = 4,657.28 : x
  2. Step 2: Convert to fraction form
    8,194.88/11,308.96 = 4,657.28/x
  3. Step 3: Cross multiply
    8,194.88x = 11,308.96 × 4,657.28
  4. Step 4: Simplify right side
    8,194.88x = 52,668,993.23
  5. Step 5: Solve for x
    x = 52,668,993.23/8,194.88
  6. Step 6: Final answer
    x = 6,427.06

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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.