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Finding the Fourth Proportional to 7,697.37, 11,545.63 and 3,018.21

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Solution

The fourth proportional to 7,697.37, 11,545.63 and 3,018.21 is: 4,527.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.37 : 11,545.63 = 3,018.21 : x
  2. Step 2: Convert to fraction form
    7,697.37/11,545.63 = 3,018.21/x
  3. Step 3: Cross multiply
    7,697.37x = 11,545.63 × 3,018.21
  4. Step 4: Simplify right side
    7,697.37x = 34,847,120.83
  5. Step 5: Solve for x
    x = 34,847,120.83/7,697.37
  6. Step 6: Final answer
    x = 4,527.15

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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.