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Finding the Fourth Proportional to 7,740.88, 10,682.46 and 4,204.09

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Solution

The fourth proportional to 7,740.88, 10,682.46 and 4,204.09 is: 5,801.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,740.88 : 10,682.46 = 4,204.09 : x
  2. Step 2: Convert to fraction form
    7,740.88/10,682.46 = 4,204.09/x
  3. Step 3: Cross multiply
    7,740.88x = 10,682.46 × 4,204.09
  4. Step 4: Simplify right side
    7,740.88x = 44,909,969.85
  5. Step 5: Solve for x
    x = 44,909,969.85/7,740.88
  6. Step 6: Final answer
    x = 5,801.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.