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Finding the Fourth Proportional to 6,957.19, 10,438.03 and 2,277.32

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Solution

The fourth proportional to 6,957.19, 10,438.03 and 2,277.32 is: 3,416.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.19 : 10,438.03 = 2,277.32 : x
  2. Step 2: Convert to fraction form
    6,957.19/10,438.03 = 2,277.32/x
  3. Step 3: Cross multiply
    6,957.19x = 10,438.03 × 2,277.32
  4. Step 4: Simplify right side
    6,957.19x = 23,770,685.14
  5. Step 5: Solve for x
    x = 23,770,685.14/6,957.19
  6. Step 6: Final answer
    x = 3,416.71

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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.