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Finding the Fourth Proportional to 11,684.77, 16,124.85 and 7,206.73

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Solution

The fourth proportional to 11,684.77, 16,124.85 and 7,206.73 is: 9,945.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,684.77 : 16,124.85 = 7,206.73 : x
  2. Step 2: Convert to fraction form
    11,684.77/16,124.85 = 7,206.73/x
  3. Step 3: Cross multiply
    11,684.77x = 16,124.85 × 7,206.73
  4. Step 4: Simplify right side
    11,684.77x = 116,207,399.93
  5. Step 5: Solve for x
    x = 116,207,399.93/11,684.77
  6. Step 6: Final answer
    x = 9,945.20

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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.