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Finding the Fourth Proportional to 7,777.14, 11,666.07 and 3,394.50

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Solution

The fourth proportional to 7,777.14, 11,666.07 and 3,394.50 is: 5,091.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.14 : 11,666.07 = 3,394.50 : x
  2. Step 2: Convert to fraction form
    7,777.14/11,666.07 = 3,394.50/x
  3. Step 3: Cross multiply
    7,777.14x = 11,666.07 × 3,394.50
  4. Step 4: Simplify right side
    7,777.14x = 39,600,474.62
  5. Step 5: Solve for x
    x = 39,600,474.62/7,777.14
  6. Step 6: Final answer
    x = 5,091.91

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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.