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Finding the Fourth Proportional to 11,365.80, 15,684.80 and 6,397.80

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Solution

The fourth proportional to 11,365.80, 15,684.80 and 6,397.80 is: 8,828.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,365.80 : 15,684.80 = 6,397.80 : x
  2. Step 2: Convert to fraction form
    11,365.80/15,684.80 = 6,397.80/x
  3. Step 3: Cross multiply
    11,365.80x = 15,684.80 × 6,397.80
  4. Step 4: Simplify right side
    11,365.80x = 100,348,213.44
  5. Step 5: Solve for x
    x = 100,348,213.44/11,365.80
  6. Step 6: Final answer
    x = 8,828.96

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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.