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Finding the Fourth Proportional to 7,750.45, 10,695.49 and 4,213.75

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Solution

The fourth proportional to 7,750.45, 10,695.49 and 4,213.75 is: 5,814.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.45 : 10,695.49 = 4,213.75 : x
  2. Step 2: Convert to fraction form
    7,750.45/10,695.49 = 4,213.75/x
  3. Step 3: Cross multiply
    7,750.45x = 10,695.49 × 4,213.75
  4. Step 4: Simplify right side
    7,750.45x = 45,068,120.99
  5. Step 5: Solve for x
    x = 45,068,120.99/7,750.45
  6. Step 6: Final answer
    x = 5,814.90

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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.