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Finding the Fourth Proportional to 12,771.03, 19,145.76 and 6,103.77

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Solution

The fourth proportional to 12,771.03, 19,145.76 and 6,103.77 is: 9,150.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771.03 : 19,145.76 = 6,103.77 : x
  2. Step 2: Convert to fraction form
    12,771.03/19,145.76 = 6,103.77/x
  3. Step 3: Cross multiply
    12,771.03x = 19,145.76 × 6,103.77
  4. Step 4: Simplify right side
    12,771.03x = 116,861,315.52
  5. Step 5: Solve for x
    x = 116,861,315.52/12,771.03
  6. Step 6: Final answer
    x = 9,150.50

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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.