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Finding the Fourth Proportional to 7,562.25, 11,343.38 and 2,090.25

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Solution

The fourth proportional to 7,562.25, 11,343.38 and 2,090.25 is: 3,135.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,562.25 : 11,343.38 = 2,090.25 : x
  2. Step 2: Convert to fraction form
    7,562.25/11,343.38 = 2,090.25/x
  3. Step 3: Cross multiply
    7,562.25x = 11,343.38 × 2,090.25
  4. Step 4: Simplify right side
    7,562.25x = 23,710,489.59
  5. Step 5: Solve for x
    x = 23,710,489.59/7,562.25
  6. Step 6: Final answer
    x = 3,135.38

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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.