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Finding the Fourth Proportional to 11,904.81, 17,857.65 and 4,509.81

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Solution

The fourth proportional to 11,904.81, 17,857.65 and 4,509.81 is: 6,764.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,904.81 : 17,857.65 = 4,509.81 : x
  2. Step 2: Convert to fraction form
    11,904.81/17,857.65 = 4,509.81/x
  3. Step 3: Cross multiply
    11,904.81x = 17,857.65 × 4,509.81
  4. Step 4: Simplify right side
    11,904.81x = 80,534,608.55
  5. Step 5: Solve for x
    x = 80,534,608.55/11,904.81
  6. Step 6: Final answer
    x = 6,764.88

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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.