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Finding the Fourth Proportional to 11,400.60, 15,733.62 and 6,365.80

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Solution

The fourth proportional to 11,400.60, 15,733.62 and 6,365.80 is: 8,785.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,400.60 : 15,733.62 = 6,365.80 : x
  2. Step 2: Convert to fraction form
    11,400.60/15,733.62 = 6,365.80/x
  3. Step 3: Cross multiply
    11,400.60x = 15,733.62 × 6,365.80
  4. Step 4: Simplify right side
    11,400.60x = 100,157,078.20
  5. Step 5: Solve for x
    x = 100,157,078.20/11,400.60
  6. Step 6: Final answer
    x = 8,785.25

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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.