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Finding the Fourth Proportional to 7,975.67, 11,963.01 and 2,977.07

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Solution

The fourth proportional to 7,975.67, 11,963.01 and 2,977.07 is: 4,465.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,975.67 : 11,963.01 = 2,977.07 : x
  2. Step 2: Convert to fraction form
    7,975.67/11,963.01 = 2,977.07/x
  3. Step 3: Cross multiply
    7,975.67x = 11,963.01 × 2,977.07
  4. Step 4: Simplify right side
    7,975.67x = 35,614,718.18
  5. Step 5: Solve for x
    x = 35,614,718.18/7,975.67
  6. Step 6: Final answer
    x = 4,465.42

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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.