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Finding the Fourth Proportional to 8,603.75, 12,905.67 and 2,447.75

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Solution

The fourth proportional to 8,603.75, 12,905.67 and 2,447.75 is: 3,671.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,603.75 : 12,905.67 = 2,447.75 : x
  2. Step 2: Convert to fraction form
    8,603.75/12,905.67 = 2,447.75/x
  3. Step 3: Cross multiply
    8,603.75x = 12,905.67 × 2,447.75
  4. Step 4: Simplify right side
    8,603.75x = 31,589,853.74
  5. Step 5: Solve for x
    x = 31,589,853.74/8,603.75
  6. Step 6: Final answer
    x = 3,671.64

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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.