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Finding the Fourth Proportional to 11,801.93, 17,701.64 and 7,406.33

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Solution

The fourth proportional to 11,801.93, 17,701.64 and 7,406.33 is: 11,108.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,801.93 : 17,701.64 = 7,406.33 : x
  2. Step 2: Convert to fraction form
    11,801.93/17,701.64 = 7,406.33/x
  3. Step 3: Cross multiply
    11,801.93x = 17,701.64 × 7,406.33
  4. Step 4: Simplify right side
    11,801.93x = 131,104,150.35
  5. Step 5: Solve for x
    x = 131,104,150.35/11,801.93
  6. Step 6: Final answer
    x = 11,108.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.