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Finding the Fourth Proportional to 12,111.12, 18,163.44 and 5,184

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Solution

The fourth proportional to 12,111.12, 18,163.44 and 5,184 is: 7,774.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,111.12 : 18,163.44 = 5,184 : x
  2. Step 2: Convert to fraction form
    12,111.12/18,163.44 = 5,184/x
  3. Step 3: Cross multiply
    12,111.12x = 18,163.44 × 5,184
  4. Step 4: Simplify right side
    12,111.12x = 94,159,272.96
  5. Step 5: Solve for x
    x = 94,159,272.96/12,111.12
  6. Step 6: Final answer
    x = 7,774.61

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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.