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Finding the Fourth Proportional to 11,908.92, 16,434.14 and 6,603.68

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Solution

The fourth proportional to 11,908.92, 16,434.14 and 6,603.68 is: 9,112.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,908.92 : 16,434.14 = 6,603.68 : x
  2. Step 2: Convert to fraction form
    11,908.92/16,434.14 = 6,603.68/x
  3. Step 3: Cross multiply
    11,908.92x = 16,434.14 × 6,603.68
  4. Step 4: Simplify right side
    11,908.92x = 108,525,801.64
  5. Step 5: Solve for x
    x = 108,525,801.64/11,908.92
  6. Step 6: Final answer
    x = 9,112.98

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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.