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Finding the Fourth Proportional to 7,969.68, 11,943.59 and 4,065.89

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Solution

The fourth proportional to 7,969.68, 11,943.59 and 4,065.89 is: 6,093.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969.68 : 11,943.59 = 4,065.89 : x
  2. Step 2: Convert to fraction form
    7,969.68/11,943.59 = 4,065.89/x
  3. Step 3: Cross multiply
    7,969.68x = 11,943.59 × 4,065.89
  4. Step 4: Simplify right side
    7,969.68x = 48,561,243.10
  5. Step 5: Solve for x
    x = 48,561,243.10/7,969.68
  6. Step 6: Final answer
    x = 6,093.25

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Why These Related Problems?

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