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Finding the Fourth Proportional to 7,288.28, 10,934.01 and 2,671.28

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Solution

The fourth proportional to 7,288.28, 10,934.01 and 2,671.28 is: 4,007.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,288.28 : 10,934.01 = 2,671.28 : x
  2. Step 2: Convert to fraction form
    7,288.28/10,934.01 = 2,671.28/x
  3. Step 3: Cross multiply
    7,288.28x = 10,934.01 × 2,671.28
  4. Step 4: Simplify right side
    7,288.28x = 29,207,802.23
  5. Step 5: Solve for x
    x = 29,207,802.23/7,288.28
  6. Step 6: Final answer
    x = 4,007.50

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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.