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Finding the Fourth Proportional to 6,324.18, 8,729.76 and 4,756.80

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Solution

The fourth proportional to 6,324.18, 8,729.76 and 4,756.80 is: 6,566.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324.18 : 8,729.76 = 4,756.80 : x
  2. Step 2: Convert to fraction form
    6,324.18/8,729.76 = 4,756.80/x
  3. Step 3: Cross multiply
    6,324.18x = 8,729.76 × 4,756.80
  4. Step 4: Simplify right side
    6,324.18x = 41,525,722.37
  5. Step 5: Solve for x
    x = 41,525,722.37/6,324.18
  6. Step 6: Final answer
    x = 6,566.18

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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.