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Finding the Fourth Proportional to 7,756.21, 10,703.57 and 4,219.41

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Solution

The fourth proportional to 7,756.21, 10,703.57 and 4,219.41 is: 5,822.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.21 : 10,703.57 = 4,219.41 : x
  2. Step 2: Convert to fraction form
    7,756.21/10,703.57 = 4,219.41/x
  3. Step 3: Cross multiply
    7,756.21x = 10,703.57 × 4,219.41
  4. Step 4: Simplify right side
    7,756.21x = 45,162,750.29
  5. Step 5: Solve for x
    x = 45,162,750.29/7,756.21
  6. Step 6: Final answer
    x = 5,822.79

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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.