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Finding the Fourth Proportional to 11,333.40, 17,005.67 and 5,097.82

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Solution

The fourth proportional to 11,333.40, 17,005.67 and 5,097.82 is: 7,649.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,333.40 : 17,005.67 = 5,097.82 : x
  2. Step 2: Convert to fraction form
    11,333.40/17,005.67 = 5,097.82/x
  3. Step 3: Cross multiply
    11,333.40x = 17,005.67 × 5,097.82
  4. Step 4: Simplify right side
    11,333.40x = 86,691,844.64
  5. Step 5: Solve for x
    x = 86,691,844.64/11,333.40
  6. Step 6: Final answer
    x = 7,649.24

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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.