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Finding the Fourth Proportional to 11,747.70, 16,217.73 and 7,661.35

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Solution

The fourth proportional to 11,747.70, 16,217.73 and 7,661.35 is: 10,576.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,747.70 : 16,217.73 = 7,661.35 : x
  2. Step 2: Convert to fraction form
    11,747.70/16,217.73 = 7,661.35/x
  3. Step 3: Cross multiply
    11,747.70x = 16,217.73 × 7,661.35
  4. Step 4: Simplify right side
    11,747.70x = 124,249,619.88
  5. Step 5: Solve for x
    x = 124,249,619.88/11,747.70
  6. Step 6: Final answer
    x = 10,576.51

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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.