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Finding the Fourth Proportional to 11,943.96, 16,485.66 and 7,697.88

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Solution

The fourth proportional to 11,943.96, 16,485.66 and 7,697.88 is: 10,625.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,943.96 : 16,485.66 = 7,697.88 : x
  2. Step 2: Convert to fraction form
    11,943.96/16,485.66 = 7,697.88/x
  3. Step 3: Cross multiply
    11,943.96x = 16,485.66 × 7,697.88
  4. Step 4: Simplify right side
    11,943.96x = 126,904,632.40
  5. Step 5: Solve for x
    x = 126,904,632.40/11,943.96
  6. Step 6: Final answer
    x = 10,625.00

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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.