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Finding the Fourth Proportional to 6,908.84, 10,352.17 and 4,134.21

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Solution

The fourth proportional to 6,908.84, 10,352.17 and 4,134.21 is: 6,194.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,908.84 : 10,352.17 = 4,134.21 : x
  2. Step 2: Convert to fraction form
    6,908.84/10,352.17 = 4,134.21/x
  3. Step 3: Cross multiply
    6,908.84x = 10,352.17 × 4,134.21
  4. Step 4: Simplify right side
    6,908.84x = 42,798,011.08
  5. Step 5: Solve for x
    x = 42,798,011.08/6,908.84
  6. Step 6: Final answer
    x = 6,194.67

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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.