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Finding the Fourth Proportional to 8,172.98, 12,259.52 and 2,329.64

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Solution

The fourth proportional to 8,172.98, 12,259.52 and 2,329.64 is: 3,494.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172.98 : 12,259.52 = 2,329.64 : x
  2. Step 2: Convert to fraction form
    8,172.98/12,259.52 = 2,329.64/x
  3. Step 3: Cross multiply
    8,172.98x = 12,259.52 × 2,329.64
  4. Step 4: Simplify right side
    8,172.98x = 28,560,268.17
  5. Step 5: Solve for x
    x = 28,560,268.17/8,172.98
  6. Step 6: Final answer
    x = 3,494.47

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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.