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Finding the Fourth Proportional to 7,207.07, 10,809.71 and 1,942.49

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Solution

The fourth proportional to 7,207.07, 10,809.71 and 1,942.49 is: 2,913.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,207.07 : 10,809.71 = 1,942.49 : x
  2. Step 2: Convert to fraction form
    7,207.07/10,809.71 = 1,942.49/x
  3. Step 3: Cross multiply
    7,207.07x = 10,809.71 × 1,942.49
  4. Step 4: Simplify right side
    7,207.07x = 20,997,801.40
  5. Step 5: Solve for x
    x = 20,997,801.40/7,207.07
  6. Step 6: Final answer
    x = 2,913.50

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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.