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Finding the Fourth Proportional to 11,380.64, 15,703.16 and 8,649.63

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Solution

The fourth proportional to 11,380.64, 15,703.16 and 8,649.63 is: 11,934.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,380.64 : 15,703.16 = 8,649.63 : x
  2. Step 2: Convert to fraction form
    11,380.64/15,703.16 = 8,649.63/x
  3. Step 3: Cross multiply
    11,380.64x = 15,703.16 × 8,649.63
  4. Step 4: Simplify right side
    11,380.64x = 135,826,480.58
  5. Step 5: Solve for x
    x = 135,826,480.58/11,380.64
  6. Step 6: Final answer
    x = 11,934.88

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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.