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Finding the Fourth Proportional to 7,465.66, 11,198.08 and 2,271.13

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Solution

The fourth proportional to 7,465.66, 11,198.08 and 2,271.13 is: 3,406.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,465.66 : 11,198.08 = 2,271.13 : x
  2. Step 2: Convert to fraction form
    7,465.66/11,198.08 = 2,271.13/x
  3. Step 3: Cross multiply
    7,465.66x = 11,198.08 × 2,271.13
  4. Step 4: Simplify right side
    7,465.66x = 25,432,295.43
  5. Step 5: Solve for x
    x = 25,432,295.43/7,465.66
  6. Step 6: Final answer
    x = 3,406.57

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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.