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Finding the Fourth Proportional to 12,074.96, 16,662.75 and 7,040.00

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Solution

The fourth proportional to 12,074.96, 16,662.75 and 7,040.00 is: 9,714.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,074.96 : 16,662.75 = 7,040.00 : x
  2. Step 2: Convert to fraction form
    12,074.96/16,662.75 = 7,040.00/x
  3. Step 3: Cross multiply
    12,074.96x = 16,662.75 × 7,040.00
  4. Step 4: Simplify right side
    12,074.96x = 117,305,676.69
  5. Step 5: Solve for x
    x = 117,305,676.69/12,074.96
  6. Step 6: Final answer
    x = 9,714.79

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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.