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Finding the Fourth Proportional to 11,943.96, 16,484.22 and 7,228.32

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Solution

The fourth proportional to 11,943.96, 16,484.22 and 7,228.32 is: 9,976.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,943.96 : 16,484.22 = 7,228.32 : x
  2. Step 2: Convert to fraction form
    11,943.96/16,484.22 = 7,228.32/x
  3. Step 3: Cross multiply
    11,943.96x = 16,484.22 × 7,228.32
  4. Step 4: Simplify right side
    11,943.96x = 119,153,217.11
  5. Step 5: Solve for x
    x = 119,153,217.11/11,943.96
  6. Step 6: Final answer
    x = 9,976.02

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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.