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Finding the Fourth Proportional to 11,747.89, 16,212.13 and 7,032.17

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Solution

The fourth proportional to 11,747.89, 16,212.13 and 7,032.17 is: 9,704.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,747.89 : 16,212.13 = 7,032.17 : x
  2. Step 2: Convert to fraction form
    11,747.89/16,212.13 = 7,032.17/x
  3. Step 3: Cross multiply
    11,747.89x = 16,212.13 × 7,032.17
  4. Step 4: Simplify right side
    11,747.89x = 114,006,355.58
  5. Step 5: Solve for x
    x = 114,006,355.58/11,747.89
  6. Step 6: Final answer
    x = 9,704.41

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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.