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Finding the Fourth Proportional to 7,120.35, 9,824.72 and 4,135.14

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Solution

The fourth proportional to 7,120.35, 9,824.72 and 4,135.14 is: 5,705.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,120.35 : 9,824.72 = 4,135.14 : x
  2. Step 2: Convert to fraction form
    7,120.35/9,824.72 = 4,135.14/x
  3. Step 3: Cross multiply
    7,120.35x = 9,824.72 × 4,135.14
  4. Step 4: Simplify right side
    7,120.35x = 40,626,571.99
  5. Step 5: Solve for x
    x = 40,626,571.99/7,120.35
  6. Step 6: Final answer
    x = 5,705.70

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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.