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Finding the Fourth Proportional to 8,260.25, 12,387.95 and 2,415.47

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Solution

The fourth proportional to 8,260.25, 12,387.95 and 2,415.47 is: 3,622.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,260.25 : 12,387.95 = 2,415.47 : x
  2. Step 2: Convert to fraction form
    8,260.25/12,387.95 = 2,415.47/x
  3. Step 3: Cross multiply
    8,260.25x = 12,387.95 × 2,415.47
  4. Step 4: Simplify right side
    8,260.25x = 29,922,709.51
  5. Step 5: Solve for x
    x = 29,922,709.51/8,260.25
  6. Step 6: Final answer
    x = 3,622.49

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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.