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Finding the Fourth Proportional to 11,740.62, 16,203.72 and 7,265.82

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Solution

The fourth proportional to 11,740.62, 16,203.72 and 7,265.82 is: 10,027.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,740.62 : 16,203.72 = 7,265.82 : x
  2. Step 2: Convert to fraction form
    11,740.62/16,203.72 = 7,265.82/x
  3. Step 3: Cross multiply
    11,740.62x = 16,203.72 × 7,265.82
  4. Step 4: Simplify right side
    11,740.62x = 117,733,252.09
  5. Step 5: Solve for x
    x = 117,733,252.09/11,740.62
  6. Step 6: Final answer
    x = 10,027.85

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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.