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Finding the Fourth Proportional to 10,874.64, 14,979 and 8,512.56

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Solution

The fourth proportional to 10,874.64, 14,979 and 8,512.56 is: 11,725.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.64 : 14,979 = 8,512.56 : x
  2. Step 2: Convert to fraction form
    10,874.64/14,979 = 8,512.56/x
  3. Step 3: Cross multiply
    10,874.64x = 14,979 × 8,512.56
  4. Step 4: Simplify right side
    10,874.64x = 127,509,636.24
  5. Step 5: Solve for x
    x = 127,509,636.24/10,874.64
  6. Step 6: Final answer
    x = 11,725.41

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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.