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Finding the Fourth Proportional to 7,406.69, 11,109.24 and 2,475.77

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Solution

The fourth proportional to 7,406.69, 11,109.24 and 2,475.77 is: 3,713.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,406.69 : 11,109.24 = 2,475.77 : x
  2. Step 2: Convert to fraction form
    7,406.69/11,109.24 = 2,475.77/x
  3. Step 3: Cross multiply
    7,406.69x = 11,109.24 × 2,475.77
  4. Step 4: Simplify right side
    7,406.69x = 27,503,867.57
  5. Step 5: Solve for x
    x = 27,503,867.57/7,406.69
  6. Step 6: Final answer
    x = 3,713.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.