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Finding the Fourth Proportional to 6,728.88, 10,095.37 and 3,444.30

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Solution

The fourth proportional to 6,728.88, 10,095.37 and 3,444.30 is: 5,167.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.88 : 10,095.37 = 3,444.30 : x
  2. Step 2: Convert to fraction form
    6,728.88/10,095.37 = 3,444.30/x
  3. Step 3: Cross multiply
    6,728.88x = 10,095.37 × 3,444.30
  4. Step 4: Simplify right side
    6,728.88x = 34,771,432.41
  5. Step 5: Solve for x
    x = 34,771,432.41/6,728.88
  6. Step 6: Final answer
    x = 5,167.50

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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.