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Finding the Fourth Proportional to 12,083.52, 18,115.52 and 4,684.16

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Solution

The fourth proportional to 12,083.52, 18,115.52 and 4,684.16 is: 7,022.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083.52 : 18,115.52 = 4,684.16 : x
  2. Step 2: Convert to fraction form
    12,083.52/18,115.52 = 4,684.16/x
  3. Step 3: Cross multiply
    12,083.52x = 18,115.52 × 4,684.16
  4. Step 4: Simplify right side
    12,083.52x = 84,855,994.16
  5. Step 5: Solve for x
    x = 84,855,994.16/12,083.52
  6. Step 6: Final answer
    x = 7,022.46

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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.