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Finding the Fourth Proportional to 11,512.35, 15,887.31 and 6,407.92

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Solution

The fourth proportional to 11,512.35, 15,887.31 and 6,407.92 is: 8,843.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,512.35 : 15,887.31 = 6,407.92 : x
  2. Step 2: Convert to fraction form
    11,512.35/15,887.31 = 6,407.92/x
  3. Step 3: Cross multiply
    11,512.35x = 15,887.31 × 6,407.92
  4. Step 4: Simplify right side
    11,512.35x = 101,804,611.50
  5. Step 5: Solve for x
    x = 101,804,611.50/11,512.35
  6. Step 6: Final answer
    x = 8,843.08

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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.