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Finding the Fourth Proportional to 7,318, 10,977 and 2,123.92

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Solution

The fourth proportional to 7,318, 10,977 and 2,123.92 is: 3,185.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,318 : 10,977 = 2,123.92 : x
  2. Step 2: Convert to fraction form
    7,318/10,977 = 2,123.92/x
  3. Step 3: Cross multiply
    7,318x = 10,977 × 2,123.92
  4. Step 4: Simplify right side
    7,318x = 23,314,269.84
  5. Step 5: Solve for x
    x = 23,314,269.84/7,318
  6. Step 6: Final answer
    x = 3,185.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.