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Finding the Fourth Proportional to 11,362.41, 17,036.33 and 7,842.56

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Solution

The fourth proportional to 11,362.41, 17,036.33 and 7,842.56 is: 11,758.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,362.41 : 17,036.33 = 7,842.56 : x
  2. Step 2: Convert to fraction form
    11,362.41/17,036.33 = 7,842.56/x
  3. Step 3: Cross multiply
    11,362.41x = 17,036.33 × 7,842.56
  4. Step 4: Simplify right side
    11,362.41x = 133,608,315.81
  5. Step 5: Solve for x
    x = 133,608,315.81/11,362.41
  6. Step 6: Final answer
    x = 11,758.80

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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.