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Finding the Fourth Proportional to 6,851.63, 10,279.74 and 2,172.40

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Solution

The fourth proportional to 6,851.63, 10,279.74 and 2,172.40 is: 3,259.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.63 : 10,279.74 = 2,172.40 : x
  2. Step 2: Convert to fraction form
    6,851.63/10,279.74 = 2,172.40/x
  3. Step 3: Cross multiply
    6,851.63x = 10,279.74 × 2,172.40
  4. Step 4: Simplify right side
    6,851.63x = 22,331,707.18
  5. Step 5: Solve for x
    x = 22,331,707.18/6,851.63
  6. Step 6: Final answer
    x = 3,259.33

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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.