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Finding the Fourth Proportional to 8,201.83, 12,302.01 and 4,912.53

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Solution

The fourth proportional to 8,201.83, 12,302.01 and 4,912.53 is: 7,368.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.83 : 12,302.01 = 4,912.53 : x
  2. Step 2: Convert to fraction form
    8,201.83/12,302.01 = 4,912.53/x
  3. Step 3: Cross multiply
    8,201.83x = 12,302.01 × 4,912.53
  4. Step 4: Simplify right side
    8,201.83x = 60,433,993.19
  5. Step 5: Solve for x
    x = 60,433,993.19/8,201.83
  6. Step 6: Final answer
    x = 7,368.35

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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.