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Finding the Fourth Proportional to 11,701.68, 16,147.46 and 6,665.72

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Solution

The fourth proportional to 11,701.68, 16,147.46 and 6,665.72 is: 9,198.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,701.68 : 16,147.46 = 6,665.72 : x
  2. Step 2: Convert to fraction form
    11,701.68/16,147.46 = 6,665.72/x
  3. Step 3: Cross multiply
    11,701.68x = 16,147.46 × 6,665.72
  4. Step 4: Simplify right side
    11,701.68x = 107,634,447.07
  5. Step 5: Solve for x
    x = 107,634,447.07/11,701.68
  6. Step 6: Final answer
    x = 9,198.20

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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.