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Finding the Fourth Proportional to 6,852.40, 10,279.88 and 2,172.22

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Solution

The fourth proportional to 6,852.40, 10,279.88 and 2,172.22 is: 3,258.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.40 : 10,279.88 = 2,172.22 : x
  2. Step 2: Convert to fraction form
    6,852.40/10,279.88 = 2,172.22/x
  3. Step 3: Cross multiply
    6,852.40x = 10,279.88 × 2,172.22
  4. Step 4: Simplify right side
    6,852.40x = 22,330,160.93
  5. Step 5: Solve for x
    x = 22,330,160.93/6,852.40
  6. Step 6: Final answer
    x = 3,258.74

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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.