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Finding the Fourth Proportional to 5,961.54, 8,236.80 and 4,712.16

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Solution

The fourth proportional to 5,961.54, 8,236.80 and 4,712.16 is: 6,510.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,961.54 : 8,236.80 = 4,712.16 : x
  2. Step 2: Convert to fraction form
    5,961.54/8,236.80 = 4,712.16/x
  3. Step 3: Cross multiply
    5,961.54x = 8,236.80 × 4,712.16
  4. Step 4: Simplify right side
    5,961.54x = 38,813,119.49
  5. Step 5: Solve for x
    x = 38,813,119.49/5,961.54
  6. Step 6: Final answer
    x = 6,510.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.