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Finding the Fourth Proportional to 8,260, 12,387.57 and 2,415.22

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Solution

The fourth proportional to 8,260, 12,387.57 and 2,415.22 is: 3,622.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,260 : 12,387.57 = 2,415.22 : x
  2. Step 2: Convert to fraction form
    8,260/12,387.57 = 2,415.22/x
  3. Step 3: Cross multiply
    8,260x = 12,387.57 × 2,415.22
  4. Step 4: Simplify right side
    8,260x = 29,918,706.82
  5. Step 5: Solve for x
    x = 29,918,706.82/8,260
  6. Step 6: Final answer
    x = 3,622.12

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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.