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Finding the Fourth Proportional to 7,673.73, 11,516.87 and 3,977.07

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Solution

The fourth proportional to 7,673.73, 11,516.87 and 3,977.07 is: 5,968.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.73 : 11,516.87 = 3,977.07 : x
  2. Step 2: Convert to fraction form
    7,673.73/11,516.87 = 3,977.07/x
  3. Step 3: Cross multiply
    7,673.73x = 11,516.87 × 3,977.07
  4. Step 4: Simplify right side
    7,673.73x = 45,803,398.17
  5. Step 5: Solve for x
    x = 45,803,398.17/7,673.73
  6. Step 6: Final answer
    x = 5,968.86

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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.