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Finding the Fourth Proportional to 6,840.01, 10,260.02 and 3,916.29

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Solution

The fourth proportional to 6,840.01, 10,260.02 and 3,916.29 is: 5,874.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840.01 : 10,260.02 = 3,916.29 : x
  2. Step 2: Convert to fraction form
    6,840.01/10,260.02 = 3,916.29/x
  3. Step 3: Cross multiply
    6,840.01x = 10,260.02 × 3,916.29
  4. Step 4: Simplify right side
    6,840.01x = 40,181,223.52
  5. Step 5: Solve for x
    x = 40,181,223.52/6,840.01
  6. Step 6: Final answer
    x = 5,874.44

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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.