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Finding the Fourth Proportional to 7,373.71, 10,165.76 and 7,144.39

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Solution

The fourth proportional to 7,373.71, 10,165.76 and 7,144.39 is: 9,849.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,373.71 : 10,165.76 = 7,144.39 : x
  2. Step 2: Convert to fraction form
    7,373.71/10,165.76 = 7,144.39/x
  3. Step 3: Cross multiply
    7,373.71x = 10,165.76 × 7,144.39
  4. Step 4: Simplify right side
    7,373.71x = 72,628,103.26
  5. Step 5: Solve for x
    x = 72,628,103.26/7,373.71
  6. Step 6: Final answer
    x = 9,849.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.