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Finding the Fourth Proportional to 7,674.45, 11,511.71 and 2,128.23

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Solution

The fourth proportional to 7,674.45, 11,511.71 and 2,128.23 is: 3,192.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.45 : 11,511.71 = 2,128.23 : x
  2. Step 2: Convert to fraction form
    7,674.45/11,511.71 = 2,128.23/x
  3. Step 3: Cross multiply
    7,674.45x = 11,511.71 × 2,128.23
  4. Step 4: Simplify right side
    7,674.45x = 24,499,555.93
  5. Step 5: Solve for x
    x = 24,499,555.93/7,674.45
  6. Step 6: Final answer
    x = 3,192.35

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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.