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Finding the Fourth Proportional to 7,138.42, 10,697.88 and 4,019.92

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Solution

The fourth proportional to 7,138.42, 10,697.88 and 4,019.92 is: 6,024.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.42 : 10,697.88 = 4,019.92 : x
  2. Step 2: Convert to fraction form
    7,138.42/10,697.88 = 4,019.92/x
  3. Step 3: Cross multiply
    7,138.42x = 10,697.88 × 4,019.92
  4. Step 4: Simplify right side
    7,138.42x = 43,004,621.77
  5. Step 5: Solve for x
    x = 43,004,621.77/7,138.42
  6. Step 6: Final answer
    x = 6,024.39

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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.