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Finding the Fourth Proportional to 6,811.16, 10,228.88 and 5,729.81

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Solution

The fourth proportional to 6,811.16, 10,228.88 and 5,729.81 is: 8,604.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.16 : 10,228.88 = 5,729.81 : x
  2. Step 2: Convert to fraction form
    6,811.16/10,228.88 = 5,729.81/x
  3. Step 3: Cross multiply
    6,811.16x = 10,228.88 × 5,729.81
  4. Step 4: Simplify right side
    6,811.16x = 58,609,502.09
  5. Step 5: Solve for x
    x = 58,609,502.09/6,811.16
  6. Step 6: Final answer
    x = 8,604.93

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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.