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Finding the Fourth Proportional to 8,278.97, 12,418.58 and 2,038.98

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Solution

The fourth proportional to 8,278.97, 12,418.58 and 2,038.98 is: 3,058.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.97 : 12,418.58 = 2,038.98 : x
  2. Step 2: Convert to fraction form
    8,278.97/12,418.58 = 2,038.98/x
  3. Step 3: Cross multiply
    8,278.97x = 12,418.58 × 2,038.98
  4. Step 4: Simplify right side
    8,278.97x = 25,321,226.05
  5. Step 5: Solve for x
    x = 25,321,226.05/8,278.97
  6. Step 6: Final answer
    x = 3,058.50

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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.