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Finding the Fourth Proportional to 6,937.87, 10,405.94 and 4,089.98

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Solution

The fourth proportional to 6,937.87, 10,405.94 and 4,089.98 is: 6,134.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.87 : 10,405.94 = 4,089.98 : x
  2. Step 2: Convert to fraction form
    6,937.87/10,405.94 = 4,089.98/x
  3. Step 3: Cross multiply
    6,937.87x = 10,405.94 × 4,089.98
  4. Step 4: Simplify right side
    6,937.87x = 42,560,119.23
  5. Step 5: Solve for x
    x = 42,560,119.23/6,937.87
  6. Step 6: Final answer
    x = 6,134.47

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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.