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Finding the Fourth Proportional to 6,364.46, 8,782.77 and 3,711.68

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Solution

The fourth proportional to 6,364.46, 8,782.77 and 3,711.68 is: 5,122.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.46 : 8,782.77 = 3,711.68 : x
  2. Step 2: Convert to fraction form
    6,364.46/8,782.77 = 3,711.68/x
  3. Step 3: Cross multiply
    6,364.46x = 8,782.77 × 3,711.68
  4. Step 4: Simplify right side
    6,364.46x = 32,598,787.84
  5. Step 5: Solve for x
    x = 32,598,787.84/6,364.46
  6. Step 6: Final answer
    x = 5,122.01

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Why These Related Problems?

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