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Finding the Fourth Proportional to 7,851.90, 11,773.24 and 3,172.06

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Solution

The fourth proportional to 7,851.90, 11,773.24 and 3,172.06 is: 4,756.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.90 : 11,773.24 = 3,172.06 : x
  2. Step 2: Convert to fraction form
    7,851.90/11,773.24 = 3,172.06/x
  3. Step 3: Cross multiply
    7,851.90x = 11,773.24 × 3,172.06
  4. Step 4: Simplify right side
    7,851.90x = 37,345,448.30
  5. Step 5: Solve for x
    x = 37,345,448.30/7,851.90
  6. Step 6: Final answer
    x = 4,756.23

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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.