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Finding the Fourth Proportional to 7,914.74, 11,872.11 and 3,294.50

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Solution

The fourth proportional to 7,914.74, 11,872.11 and 3,294.50 is: 4,941.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914.74 : 11,872.11 = 3,294.50 : x
  2. Step 2: Convert to fraction form
    7,914.74/11,872.11 = 3,294.50/x
  3. Step 3: Cross multiply
    7,914.74x = 11,872.11 × 3,294.50
  4. Step 4: Simplify right side
    7,914.74x = 39,112,666.40
  5. Step 5: Solve for x
    x = 39,112,666.40/7,914.74
  6. Step 6: Final answer
    x = 4,941.75

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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.