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Finding the Fourth Proportional to 11,573.64, 15,971.69 and 6,268.47

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Solution

The fourth proportional to 11,573.64, 15,971.69 and 6,268.47 is: 8,650.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,573.64 : 15,971.69 = 6,268.47 : x
  2. Step 2: Convert to fraction form
    11,573.64/15,971.69 = 6,268.47/x
  3. Step 3: Cross multiply
    11,573.64x = 15,971.69 × 6,268.47
  4. Step 4: Simplify right side
    11,573.64x = 100,118,028.27
  5. Step 5: Solve for x
    x = 100,118,028.27/11,573.64
  6. Step 6: Final answer
    x = 8,650.52

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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.