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Finding the Fourth Proportional to 7,452, 11,177.87 and 1,905.26

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Solution

The fourth proportional to 7,452, 11,177.87 and 1,905.26 is: 2,857.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,452 : 11,177.87 = 1,905.26 : x
  2. Step 2: Convert to fraction form
    7,452/11,177.87 = 1,905.26/x
  3. Step 3: Cross multiply
    7,452x = 11,177.87 × 1,905.26
  4. Step 4: Simplify right side
    7,452x = 21,296,683.18
  5. Step 5: Solve for x
    x = 21,296,683.18/7,452
  6. Step 6: Final answer
    x = 2,857.85

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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.