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Finding the Fourth Proportional to 7,494.25, 11,241.92 and 2,877.25

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Solution

The fourth proportional to 7,494.25, 11,241.92 and 2,877.25 is: 4,316.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,494.25 : 11,241.92 = 2,877.25 : x
  2. Step 2: Convert to fraction form
    7,494.25/11,241.92 = 2,877.25/x
  3. Step 3: Cross multiply
    7,494.25x = 11,241.92 × 2,877.25
  4. Step 4: Simplify right side
    7,494.25x = 32,345,814.32
  5. Step 5: Solve for x
    x = 32,345,814.32/7,494.25
  6. Step 6: Final answer
    x = 4,316.08

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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.