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Finding the Fourth Proportional to 11,940.72, 16,477.48 and 6,904.57

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Solution

The fourth proportional to 11,940.72, 16,477.48 and 6,904.57 is: 9,527.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,940.72 : 16,477.48 = 6,904.57 : x
  2. Step 2: Convert to fraction form
    11,940.72/16,477.48 = 6,904.57/x
  3. Step 3: Cross multiply
    11,940.72x = 16,477.48 × 6,904.57
  4. Step 4: Simplify right side
    11,940.72x = 113,769,827.23
  5. Step 5: Solve for x
    x = 113,769,827.23/11,940.72
  6. Step 6: Final answer
    x = 9,527.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.