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Finding the Fourth Proportional to 8,172.49, 12,260.55 and 2,978.36

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Solution

The fourth proportional to 8,172.49, 12,260.55 and 2,978.36 is: 4,468.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172.49 : 12,260.55 = 2,978.36 : x
  2. Step 2: Convert to fraction form
    8,172.49/12,260.55 = 2,978.36/x
  3. Step 3: Cross multiply
    8,172.49x = 12,260.55 × 2,978.36
  4. Step 4: Simplify right side
    8,172.49x = 36,516,327.98
  5. Step 5: Solve for x
    x = 36,516,327.98/8,172.49
  6. Step 6: Final answer
    x = 4,468.20

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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.