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Finding the Fourth Proportional to 6,099.94, 8,423.90 and 5,210.56

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Solution

The fourth proportional to 6,099.94, 8,423.90 and 5,210.56 is: 7,195.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099.94 : 8,423.90 = 5,210.56 : x
  2. Step 2: Convert to fraction form
    6,099.94/8,423.90 = 5,210.56/x
  3. Step 3: Cross multiply
    6,099.94x = 8,423.90 × 5,210.56
  4. Step 4: Simplify right side
    6,099.94x = 43,893,236.38
  5. Step 5: Solve for x
    x = 43,893,236.38/6,099.94
  6. Step 6: Final answer
    x = 7,195.68

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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.