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Finding the Fourth Proportional to 8,173.59, 12,257.95 and 2,978.25

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Solution

The fourth proportional to 8,173.59, 12,257.95 and 2,978.25 is: 4,466.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,173.59 : 12,257.95 = 2,978.25 : x
  2. Step 2: Convert to fraction form
    8,173.59/12,257.95 = 2,978.25/x
  3. Step 3: Cross multiply
    8,173.59x = 12,257.95 × 2,978.25
  4. Step 4: Simplify right side
    8,173.59x = 36,507,239.59
  5. Step 5: Solve for x
    x = 36,507,239.59/8,173.59
  6. Step 6: Final answer
    x = 4,466.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.