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Finding the Fourth Proportional to 11,507.82, 17,283.60 and 7,155.68

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Solution

The fourth proportional to 11,507.82, 17,283.60 and 7,155.68 is: 10,747.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,507.82 : 17,283.60 = 7,155.68 : x
  2. Step 2: Convert to fraction form
    11,507.82/17,283.60 = 7,155.68/x
  3. Step 3: Cross multiply
    11,507.82x = 17,283.60 × 7,155.68
  4. Step 4: Simplify right side
    11,507.82x = 123,675,910.85
  5. Step 5: Solve for x
    x = 123,675,910.85/11,507.82
  6. Step 6: Final answer
    x = 10,747.12

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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.