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Finding the Fourth Proportional to 11,007.40, 15,192.53 and 7,027.82

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Solution

The fourth proportional to 11,007.40, 15,192.53 and 7,027.82 is: 9,699.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,007.40 : 15,192.53 = 7,027.82 : x
  2. Step 2: Convert to fraction form
    11,007.40/15,192.53 = 7,027.82/x
  3. Step 3: Cross multiply
    11,007.40x = 15,192.53 × 7,027.82
  4. Step 4: Simplify right side
    11,007.40x = 106,770,338.41
  5. Step 5: Solve for x
    x = 106,770,338.41/11,007.40
  6. Step 6: Final answer
    x = 9,699.87

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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.