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Finding the Fourth Proportional to 11,904.56, 17,857.28 and 4,509.56

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Solution

The fourth proportional to 11,904.56, 17,857.28 and 4,509.56 is: 6,764.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,904.56 : 17,857.28 = 4,509.56 : x
  2. Step 2: Convert to fraction form
    11,904.56/17,857.28 = 4,509.56/x
  3. Step 3: Cross multiply
    11,904.56x = 17,857.28 × 4,509.56
  4. Step 4: Simplify right side
    11,904.56x = 80,528,497.69
  5. Step 5: Solve for x
    x = 80,528,497.69/11,904.56
  6. Step 6: Final answer
    x = 6,764.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.