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Finding the Fourth Proportional to 6,099.66, 8,415.03 and 4,110.87

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Solution

The fourth proportional to 6,099.66, 8,415.03 and 4,110.87 is: 5,671.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099.66 : 8,415.03 = 4,110.87 : x
  2. Step 2: Convert to fraction form
    6,099.66/8,415.03 = 4,110.87/x
  3. Step 3: Cross multiply
    6,099.66x = 8,415.03 × 4,110.87
  4. Step 4: Simplify right side
    6,099.66x = 34,593,094.38
  5. Step 5: Solve for x
    x = 34,593,094.38/6,099.66
  6. Step 6: Final answer
    x = 5,671.32

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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.