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Finding the Fourth Proportional to 7,310.75, 10,966.14 and 1,838.75

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Solution

The fourth proportional to 7,310.75, 10,966.14 and 1,838.75 is: 2,758.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,310.75 : 10,966.14 = 1,838.75 : x
  2. Step 2: Convert to fraction form
    7,310.75/10,966.14 = 1,838.75/x
  3. Step 3: Cross multiply
    7,310.75x = 10,966.14 × 1,838.75
  4. Step 4: Simplify right side
    7,310.75x = 20,163,989.93
  5. Step 5: Solve for x
    x = 20,163,989.93/7,310.75
  6. Step 6: Final answer
    x = 2,758.13

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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.