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Finding the Fourth Proportional to 11,848.97, 16,350.73 and 6,813.16

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Solution

The fourth proportional to 11,848.97, 16,350.73 and 6,813.16 is: 9,401.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,848.97 : 16,350.73 = 6,813.16 : x
  2. Step 2: Convert to fraction form
    11,848.97/16,350.73 = 6,813.16/x
  3. Step 3: Cross multiply
    11,848.97x = 16,350.73 × 6,813.16
  4. Step 4: Simplify right side
    11,848.97x = 111,400,081.70
  5. Step 5: Solve for x
    x = 111,400,081.70/11,848.97
  6. Step 6: Final answer
    x = 9,401.67

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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.