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Finding the Fourth Proportional to 11,647.36, 16,071.52 and 7,171.84

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Solution

The fourth proportional to 11,647.36, 16,071.52 and 7,171.84 is: 9,896.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.36 : 16,071.52 = 7,171.84 : x
  2. Step 2: Convert to fraction form
    11,647.36/16,071.52 = 7,171.84/x
  3. Step 3: Cross multiply
    11,647.36x = 16,071.52 × 7,171.84
  4. Step 4: Simplify right side
    11,647.36x = 115,262,370.00
  5. Step 5: Solve for x
    x = 115,262,370.00/11,647.36
  6. Step 6: Final answer
    x = 9,896.01

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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.