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Finding the Fourth Proportional to 11,634.62, 16,049.24 and 7,595.72

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Solution

The fourth proportional to 11,634.62, 16,049.24 and 7,595.72 is: 10,477.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,634.62 : 16,049.24 = 7,595.72 : x
  2. Step 2: Convert to fraction form
    11,634.62/16,049.24 = 7,595.72/x
  3. Step 3: Cross multiply
    11,634.62x = 16,049.24 × 7,595.72
  4. Step 4: Simplify right side
    11,634.62x = 121,905,533.25
  5. Step 5: Solve for x
    x = 121,905,533.25/11,634.62
  6. Step 6: Final answer
    x = 10,477.83

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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.