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Finding the Fourth Proportional to 7,738.99, 10,679.70 and 4,202.18

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Solution

The fourth proportional to 7,738.99, 10,679.70 and 4,202.18 is: 5,798.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738.99 : 10,679.70 = 4,202.18 : x
  2. Step 2: Convert to fraction form
    7,738.99/10,679.70 = 4,202.18/x
  3. Step 3: Cross multiply
    7,738.99x = 10,679.70 × 4,202.18
  4. Step 4: Simplify right side
    7,738.99x = 44,878,021.75
  5. Step 5: Solve for x
    x = 44,878,021.75/7,738.99
  6. Step 6: Final answer
    x = 5,798.95

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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.