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Finding the Fourth Proportional to 7,494.94, 11,242.14 and 1,948.33

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Solution

The fourth proportional to 7,494.94, 11,242.14 and 1,948.33 is: 2,922.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,494.94 : 11,242.14 = 1,948.33 : x
  2. Step 2: Convert to fraction form
    7,494.94/11,242.14 = 1,948.33/x
  3. Step 3: Cross multiply
    7,494.94x = 11,242.14 × 1,948.33
  4. Step 4: Simplify right side
    7,494.94x = 21,903,398.63
  5. Step 5: Solve for x
    x = 21,903,398.63/7,494.94
  6. Step 6: Final answer
    x = 2,922.42

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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.