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Finding the Fourth Proportional to 7,272.44, 10,908.76 and 2,078.31

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Solution

The fourth proportional to 7,272.44, 10,908.76 and 2,078.31 is: 3,117.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,272.44 : 10,908.76 = 2,078.31 : x
  2. Step 2: Convert to fraction form
    7,272.44/10,908.76 = 2,078.31/x
  3. Step 3: Cross multiply
    7,272.44x = 10,908.76 × 2,078.31
  4. Step 4: Simplify right side
    7,272.44x = 22,671,785.00
  5. Step 5: Solve for x
    x = 22,671,785.00/7,272.44
  6. Step 6: Final answer
    x = 3,117.49

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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.