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Finding the Fourth Proportional to 11,904.46, 17,858.41 and 6,354.77

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Solution

The fourth proportional to 11,904.46, 17,858.41 and 6,354.77 is: 9,533.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,904.46 : 17,858.41 = 6,354.77 : x
  2. Step 2: Convert to fraction form
    11,904.46/17,858.41 = 6,354.77/x
  3. Step 3: Cross multiply
    11,904.46x = 17,858.41 × 6,354.77
  4. Step 4: Simplify right side
    11,904.46x = 113,485,982.94
  5. Step 5: Solve for x
    x = 113,485,982.94/11,904.46
  6. Step 6: Final answer
    x = 9,533.07

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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.