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Finding the Fourth Proportional to 6,852.60, 10,278.95 and 2,172.60

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Solution

The fourth proportional to 6,852.60, 10,278.95 and 2,172.60 is: 3,258.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.60 : 10,278.95 = 2,172.60 : x
  2. Step 2: Convert to fraction form
    6,852.60/10,278.95 = 2,172.60/x
  3. Step 3: Cross multiply
    6,852.60x = 10,278.95 × 2,172.60
  4. Step 4: Simplify right side
    6,852.60x = 22,332,035.91
  5. Step 5: Solve for x
    x = 22,332,035.91/6,852.60
  6. Step 6: Final answer
    x = 3,258.91

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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.