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Finding the Fourth Proportional to 7,840.98, 11,754.99 and 5,369.67

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Solution

The fourth proportional to 7,840.98, 11,754.99 and 5,369.67 is: 8,050.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.98 : 11,754.99 = 5,369.67 : x
  2. Step 2: Convert to fraction form
    7,840.98/11,754.99 = 5,369.67/x
  3. Step 3: Cross multiply
    7,840.98x = 11,754.99 × 5,369.67
  4. Step 4: Simplify right side
    7,840.98x = 63,120,417.15
  5. Step 5: Solve for x
    x = 63,120,417.15/7,840.98
  6. Step 6: Final answer
    x = 8,050.07

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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.