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Finding the Fourth Proportional to 8,272.25, 12,348.82 and 7,089.50

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Solution

The fourth proportional to 8,272.25, 12,348.82 and 7,089.50 is: 10,583.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.25 : 12,348.82 = 7,089.50 : x
  2. Step 2: Convert to fraction form
    8,272.25/12,348.82 = 7,089.50/x
  3. Step 3: Cross multiply
    8,272.25x = 12,348.82 × 7,089.50
  4. Step 4: Simplify right side
    8,272.25x = 87,546,959.39
  5. Step 5: Solve for x
    x = 87,546,959.39/8,272.25
  6. Step 6: Final answer
    x = 10,583.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.