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Finding the Fourth Proportional to 7,447.74, 11,171.30 and 1,901.22

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Solution

The fourth proportional to 7,447.74, 11,171.30 and 1,901.22 is: 2,851.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447.74 : 11,171.30 = 1,901.22 : x
  2. Step 2: Convert to fraction form
    7,447.74/11,171.30 = 1,901.22/x
  3. Step 3: Cross multiply
    7,447.74x = 11,171.30 × 1,901.22
  4. Step 4: Simplify right side
    7,447.74x = 21,239,089.48
  5. Step 5: Solve for x
    x = 21,239,089.48/7,447.74
  6. Step 6: Final answer
    x = 2,851.75

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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.