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Finding the Fourth Proportional to 7,770.84, 10,705.68 and 5,408.88

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Solution

The fourth proportional to 7,770.84, 10,705.68 and 5,408.88 is: 7,451.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.84 : 10,705.68 = 5,408.88 : x
  2. Step 2: Convert to fraction form
    7,770.84/10,705.68 = 5,408.88/x
  3. Step 3: Cross multiply
    7,770.84x = 10,705.68 × 5,408.88
  4. Step 4: Simplify right side
    7,770.84x = 57,905,738.44
  5. Step 5: Solve for x
    x = 57,905,738.44/7,770.84
  6. Step 6: Final answer
    x = 7,451.67

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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.