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Finding the Fourth Proportional to 12,083.29, 18,129.54 and 4,692.93

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Solution

The fourth proportional to 12,083.29, 18,129.54 and 4,692.93 is: 7,041.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083.29 : 18,129.54 = 4,692.93 : x
  2. Step 2: Convert to fraction form
    12,083.29/18,129.54 = 4,692.93/x
  3. Step 3: Cross multiply
    12,083.29x = 18,129.54 × 4,692.93
  4. Step 4: Simplify right side
    12,083.29x = 85,080,662.15
  5. Step 5: Solve for x
    x = 85,080,662.15/12,083.29
  6. Step 6: Final answer
    x = 7,041.18

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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.