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Finding the Fourth Proportional to 11,908.52, 16,429.72 and 7,717.60

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Solution

The fourth proportional to 11,908.52, 16,429.72 and 7,717.60 is: 10,647.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,908.52 : 16,429.72 = 7,717.60 : x
  2. Step 2: Convert to fraction form
    11,908.52/16,429.72 = 7,717.60/x
  3. Step 3: Cross multiply
    11,908.52x = 16,429.72 × 7,717.60
  4. Step 4: Simplify right side
    11,908.52x = 126,798,007.07
  5. Step 5: Solve for x
    x = 126,798,007.07/11,908.52
  6. Step 6: Final answer
    x = 10,647.67

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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.