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Finding the Fourth Proportional to 11,872.10, 16,383.66 and 7,397.66

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Solution

The fourth proportional to 11,872.10, 16,383.66 and 7,397.66 is: 10,208.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.10 : 16,383.66 = 7,397.66 : x
  2. Step 2: Convert to fraction form
    11,872.10/16,383.66 = 7,397.66/x
  3. Step 3: Cross multiply
    11,872.10x = 16,383.66 × 7,397.66
  4. Step 4: Simplify right side
    11,872.10x = 121,200,746.24
  5. Step 5: Solve for x
    x = 121,200,746.24/11,872.10
  6. Step 6: Final answer
    x = 10,208.87

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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.