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Finding the Fourth Proportional to 11,842.74, 16,350.66 and 7,368.30

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Solution

The fourth proportional to 11,842.74, 16,350.66 and 7,368.30 is: 10,173.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.74 : 16,350.66 = 7,368.30 : x
  2. Step 2: Convert to fraction form
    11,842.74/16,350.66 = 7,368.30/x
  3. Step 3: Cross multiply
    11,842.74x = 16,350.66 × 7,368.30
  4. Step 4: Simplify right side
    11,842.74x = 120,476,568.08
  5. Step 5: Solve for x
    x = 120,476,568.08/11,842.74
  6. Step 6: Final answer
    x = 10,173.03

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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.