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Finding the Fourth Proportional to 7,850.64, 11,750.33 and 5,770.10

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Solution

The fourth proportional to 7,850.64, 11,750.33 and 5,770.10 is: 8,636.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.64 : 11,750.33 = 5,770.10 : x
  2. Step 2: Convert to fraction form
    7,850.64/11,750.33 = 5,770.10/x
  3. Step 3: Cross multiply
    7,850.64x = 11,750.33 × 5,770.10
  4. Step 4: Simplify right side
    7,850.64x = 67,800,491.53
  5. Step 5: Solve for x
    x = 67,800,491.53/7,850.64
  6. Step 6: Final answer
    x = 8,636.30

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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.