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Finding the Fourth Proportional to 8,172.83, 12,261.38 and 2,329.90

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Solution

The fourth proportional to 8,172.83, 12,261.38 and 2,329.90 is: 3,495.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172.83 : 12,261.38 = 2,329.90 : x
  2. Step 2: Convert to fraction form
    8,172.83/12,261.38 = 2,329.90/x
  3. Step 3: Cross multiply
    8,172.83x = 12,261.38 × 2,329.90
  4. Step 4: Simplify right side
    8,172.83x = 28,567,746.96
  5. Step 5: Solve for x
    x = 28,567,746.96/8,172.83
  6. Step 6: Final answer
    x = 3,495.45

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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.