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Finding the Fourth Proportional to 7,494.90, 11,242.62 and 2,814.48

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Solution

The fourth proportional to 7,494.90, 11,242.62 and 2,814.48 is: 4,221.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,494.90 : 11,242.62 = 2,814.48 : x
  2. Step 2: Convert to fraction form
    7,494.90/11,242.62 = 2,814.48/x
  3. Step 3: Cross multiply
    7,494.90x = 11,242.62 × 2,814.48
  4. Step 4: Simplify right side
    7,494.90x = 31,642,129.14
  5. Step 5: Solve for x
    x = 31,642,129.14/7,494.90
  6. Step 6: Final answer
    x = 4,221.82

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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.