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Finding the Fourth Proportional to 11,904.57, 17,857.76 and 4,007.12

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Solution

The fourth proportional to 11,904.57, 17,857.76 and 4,007.12 is: 6,010.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,904.57 : 17,857.76 = 4,007.12 : x
  2. Step 2: Convert to fraction form
    11,904.57/17,857.76 = 4,007.12/x
  3. Step 3: Cross multiply
    11,904.57x = 17,857.76 × 4,007.12
  4. Step 4: Simplify right side
    11,904.57x = 71,558,077.93
  5. Step 5: Solve for x
    x = 71,558,077.93/11,904.57
  6. Step 6: Final answer
    x = 6,010.98

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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.