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Finding the Fourth Proportional to 7,462.98, 11,194.74 and 2,465.48

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Solution

The fourth proportional to 7,462.98, 11,194.74 and 2,465.48 is: 3,698.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462.98 : 11,194.74 = 2,465.48 : x
  2. Step 2: Convert to fraction form
    7,462.98/11,194.74 = 2,465.48/x
  3. Step 3: Cross multiply
    7,462.98x = 11,194.74 × 2,465.48
  4. Step 4: Simplify right side
    7,462.98x = 27,600,339.27
  5. Step 5: Solve for x
    x = 27,600,339.27/7,462.98
  6. Step 6: Final answer
    x = 3,698.30

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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.