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Finding the Fourth Proportional to 11,647.92, 16,077.24 and 7,172.40

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Solution

The fourth proportional to 11,647.92, 16,077.24 and 7,172.40 is: 9,899.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.92 : 16,077.24 = 7,172.40 : x
  2. Step 2: Convert to fraction form
    11,647.92/16,077.24 = 7,172.40/x
  3. Step 3: Cross multiply
    11,647.92x = 16,077.24 × 7,172.40
  4. Step 4: Simplify right side
    11,647.92x = 115,312,396.18
  5. Step 5: Solve for x
    x = 115,312,396.18/11,647.92
  6. Step 6: Final answer
    x = 9,899.83

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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.