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Finding the Fourth Proportional to 6,723.84, 10,085.76 and 4,414.08

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Solution

The fourth proportional to 6,723.84, 10,085.76 and 4,414.08 is: 6,621.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,723.84 : 10,085.76 = 4,414.08 : x
  2. Step 2: Convert to fraction form
    6,723.84/10,085.76 = 4,414.08/x
  3. Step 3: Cross multiply
    6,723.84x = 10,085.76 × 4,414.08
  4. Step 4: Simplify right side
    6,723.84x = 44,519,351.50
  5. Step 5: Solve for x
    x = 44,519,351.50/6,723.84
  6. Step 6: Final answer
    x = 6,621.12

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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.