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Finding the Fourth Proportional to 11,760.86, 17,632.04 and 8,051.85

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Solution

The fourth proportional to 11,760.86, 17,632.04 and 8,051.85 is: 12,071.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,760.86 : 17,632.04 = 8,051.85 : x
  2. Step 2: Convert to fraction form
    11,760.86/17,632.04 = 8,051.85/x
  3. Step 3: Cross multiply
    11,760.86x = 17,632.04 × 8,051.85
  4. Step 4: Simplify right side
    11,760.86x = 141,970,501.01
  5. Step 5: Solve for x
    x = 141,970,501.01/11,760.86
  6. Step 6: Final answer
    x = 12,071.44

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1.5x scale

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.