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Finding the Fourth Proportional to 11,845.36, 16,342.44 and 7,064.08

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Solution

The fourth proportional to 11,845.36, 16,342.44 and 7,064.08 is: 9,745.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,845.36 : 16,342.44 = 7,064.08 : x
  2. Step 2: Convert to fraction form
    11,845.36/16,342.44 = 7,064.08/x
  3. Step 3: Cross multiply
    11,845.36x = 16,342.44 × 7,064.08
  4. Step 4: Simplify right side
    11,845.36x = 115,444,303.56
  5. Step 5: Solve for x
    x = 115,444,303.56/11,845.36
  6. Step 6: Final answer
    x = 9,745.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.