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Finding the Fourth Proportional to 11,573.81, 15,971.85 and 6,268.63

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Solution

The fourth proportional to 11,573.81, 15,971.85 and 6,268.63 is: 8,650.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,573.81 : 15,971.85 = 6,268.63 : x
  2. Step 2: Convert to fraction form
    11,573.81/15,971.85 = 6,268.63/x
  3. Step 3: Cross multiply
    11,573.81x = 15,971.85 × 6,268.63
  4. Step 4: Simplify right side
    11,573.81x = 100,121,618.07
  5. Step 5: Solve for x
    x = 100,121,618.07/11,573.81
  6. Step 6: Final answer
    x = 8,650.71

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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.