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Finding the Fourth Proportional to 8,906.42, 13,357.02 and 3,355.76

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Solution

The fourth proportional to 8,906.42, 13,357.02 and 3,355.76 is: 5,032.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,906.42 : 13,357.02 = 3,355.76 : x
  2. Step 2: Convert to fraction form
    8,906.42/13,357.02 = 3,355.76/x
  3. Step 3: Cross multiply
    8,906.42x = 13,357.02 × 3,355.76
  4. Step 4: Simplify right side
    8,906.42x = 44,822,953.44
  5. Step 5: Solve for x
    x = 44,822,953.44/8,906.42
  6. Step 6: Final answer
    x = 5,032.66

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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.