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Finding the Fourth Proportional to 8,105.42, 12,157.49 and 2,558.93

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Solution

The fourth proportional to 8,105.42, 12,157.49 and 2,558.93 is: 3,838.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,105.42 : 12,157.49 = 2,558.93 : x
  2. Step 2: Convert to fraction form
    8,105.42/12,157.49 = 2,558.93/x
  3. Step 3: Cross multiply
    8,105.42x = 12,157.49 × 2,558.93
  4. Step 4: Simplify right side
    8,105.42x = 31,110,111.50
  5. Step 5: Solve for x
    x = 31,110,111.50/8,105.42
  6. Step 6: Final answer
    x = 3,838.19

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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.