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Finding the Fourth Proportional to 8,264.25, 12,390.99 and 2,998.28

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Solution

The fourth proportional to 8,264.25, 12,390.99 and 2,998.28 is: 4,495.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264.25 : 12,390.99 = 2,998.28 : x
  2. Step 2: Convert to fraction form
    8,264.25/12,390.99 = 2,998.28/x
  3. Step 3: Cross multiply
    8,264.25x = 12,390.99 × 2,998.28
  4. Step 4: Simplify right side
    8,264.25x = 37,151,657.50
  5. Step 5: Solve for x
    x = 37,151,657.50/8,264.25
  6. Step 6: Final answer
    x = 4,495.47

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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.