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Finding the Fourth Proportional to 11,365.71, 15,683.63 and 8,383.19

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Solution

The fourth proportional to 11,365.71, 15,683.63 and 8,383.19 is: 11,568.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,365.71 : 15,683.63 = 8,383.19 : x
  2. Step 2: Convert to fraction form
    11,365.71/15,683.63 = 8,383.19/x
  3. Step 3: Cross multiply
    11,365.71x = 15,683.63 × 8,383.19
  4. Step 4: Simplify right side
    11,365.71x = 131,478,729.85
  5. Step 5: Solve for x
    x = 131,478,729.85/11,365.71
  6. Step 6: Final answer
    x = 11,568.02

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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.