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Finding the Fourth Proportional to 11,745.12, 17,612.56 and 4,444

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Solution

The fourth proportional to 11,745.12, 17,612.56 and 4,444 is: 6,664.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,745.12 : 17,612.56 = 4,444 : x
  2. Step 2: Convert to fraction form
    11,745.12/17,612.56 = 4,444/x
  3. Step 3: Cross multiply
    11,745.12x = 17,612.56 × 4,444
  4. Step 4: Simplify right side
    11,745.12x = 78,270,216.64
  5. Step 5: Solve for x
    x = 78,270,216.64/11,745.12
  6. Step 6: Final answer
    x = 6,664.06

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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.