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Finding the Fourth Proportional to 11,904.76, 17,859.64 and 4,509.05

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Solution

The fourth proportional to 11,904.76, 17,859.64 and 4,509.05 is: 6,764.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,904.76 : 17,859.64 = 4,509.05 : x
  2. Step 2: Convert to fraction form
    11,904.76/17,859.64 = 4,509.05/x
  3. Step 3: Cross multiply
    11,904.76x = 17,859.64 × 4,509.05
  4. Step 4: Simplify right side
    11,904.76x = 80,530,072.38
  5. Step 5: Solve for x
    x = 80,530,072.38/11,904.76
  6. Step 6: Final answer
    x = 6,764.53

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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.