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Finding the Fourth Proportional to 11,829.40, 16,324.03 and 6,790.08

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Solution

The fourth proportional to 11,829.40, 16,324.03 and 6,790.08 is: 9,370.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,829.40 : 16,324.03 = 6,790.08 : x
  2. Step 2: Convert to fraction form
    11,829.40/16,324.03 = 6,790.08/x
  3. Step 3: Cross multiply
    11,829.40x = 16,324.03 × 6,790.08
  4. Step 4: Simplify right side
    11,829.40x = 110,841,469.62
  5. Step 5: Solve for x
    x = 110,841,469.62/11,829.40
  6. Step 6: Final answer
    x = 9,370.00

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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.