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Finding the Fourth Proportional to 6,728.27, 10,088.55 and 2,835.41

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Solution

The fourth proportional to 6,728.27, 10,088.55 and 2,835.41 is: 4,251.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.27 : 10,088.55 = 2,835.41 : x
  2. Step 2: Convert to fraction form
    6,728.27/10,088.55 = 2,835.41/x
  3. Step 3: Cross multiply
    6,728.27x = 10,088.55 × 2,835.41
  4. Step 4: Simplify right side
    6,728.27x = 28,605,125.11
  5. Step 5: Solve for x
    x = 28,605,125.11/6,728.27
  6. Step 6: Final answer
    x = 4,251.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.