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Finding the Fourth Proportional to 7,465.52, 11,198.28 and 2,271.24

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Solution

The fourth proportional to 7,465.52, 11,198.28 and 2,271.24 is: 3,406.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,465.52 : 11,198.28 = 2,271.24 : x
  2. Step 2: Convert to fraction form
    7,465.52/11,198.28 = 2,271.24/x
  3. Step 3: Cross multiply
    7,465.52x = 11,198.28 × 2,271.24
  4. Step 4: Simplify right side
    7,465.52x = 25,433,981.47
  5. Step 5: Solve for x
    x = 25,433,981.47/7,465.52
  6. Step 6: Final answer
    x = 3,406.86

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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.