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Finding the Fourth Proportional to 7,674.34, 11,511.46 and 1,975.29

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Solution

The fourth proportional to 7,674.34, 11,511.46 and 1,975.29 is: 2,962.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.34 : 11,511.46 = 1,975.29 : x
  2. Step 2: Convert to fraction form
    7,674.34/11,511.46 = 1,975.29/x
  3. Step 3: Cross multiply
    7,674.34x = 11,511.46 × 1,975.29
  4. Step 4: Simplify right side
    7,674.34x = 22,738,471.82
  5. Step 5: Solve for x
    x = 22,738,471.82/7,674.34
  6. Step 6: Final answer
    x = 2,962.92

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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.