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Finding the Fourth Proportional to 7,673.97, 11,499.82 and 4,161.00

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Solution

The fourth proportional to 7,673.97, 11,499.82 and 4,161.00 is: 6,235.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.97 : 11,499.82 = 4,161.00 : x
  2. Step 2: Convert to fraction form
    7,673.97/11,499.82 = 4,161.00/x
  3. Step 3: Cross multiply
    7,673.97x = 11,499.82 × 4,161.00
  4. Step 4: Simplify right side
    7,673.97x = 47,850,807.15
  5. Step 5: Solve for x
    x = 47,850,807.15/7,673.97
  6. Step 6: Final answer
    x = 6,235.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.