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Finding the Fourth Proportional to 11,709.17, 16,163.93 and 7,465.92

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Solution

The fourth proportional to 11,709.17, 16,163.93 and 7,465.92 is: 10,306.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.17 : 16,163.93 = 7,465.92 : x
  2. Step 2: Convert to fraction form
    11,709.17/16,163.93 = 7,465.92/x
  3. Step 3: Cross multiply
    11,709.17x = 16,163.93 × 7,465.92
  4. Step 4: Simplify right side
    11,709.17x = 120,678,615.24
  5. Step 5: Solve for x
    x = 120,678,615.24/11,709.17
  6. Step 6: Final answer
    x = 10,306.33

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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.