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Finding the Fourth Proportional to 7,223.14, 10,834.08 and 1,957.96

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Solution

The fourth proportional to 7,223.14, 10,834.08 and 1,957.96 is: 2,936.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,223.14 : 10,834.08 = 1,957.96 : x
  2. Step 2: Convert to fraction form
    7,223.14/10,834.08 = 1,957.96/x
  3. Step 3: Cross multiply
    7,223.14x = 10,834.08 × 1,957.96
  4. Step 4: Simplify right side
    7,223.14x = 21,212,695.28
  5. Step 5: Solve for x
    x = 21,212,695.28/7,223.14
  6. Step 6: Final answer
    x = 2,936.77

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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.