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Finding the Fourth Proportional to 6,740.99, 10,102.07 and 3,041.93

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Solution

The fourth proportional to 6,740.99, 10,102.07 and 3,041.93 is: 4,558.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,740.99 : 10,102.07 = 3,041.93 : x
  2. Step 2: Convert to fraction form
    6,740.99/10,102.07 = 3,041.93/x
  3. Step 3: Cross multiply
    6,740.99x = 10,102.07 × 3,041.93
  4. Step 4: Simplify right side
    6,740.99x = 30,729,789.80
  5. Step 5: Solve for x
    x = 30,729,789.80/6,740.99
  6. Step 6: Final answer
    x = 4,558.65

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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.