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Finding the Fourth Proportional to 7,834.89, 11,762.77 and 4,550.34

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Solution

The fourth proportional to 7,834.89, 11,762.77 and 4,550.34 is: 6,831.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.89 : 11,762.77 = 4,550.34 : x
  2. Step 2: Convert to fraction form
    7,834.89/11,762.77 = 4,550.34/x
  3. Step 3: Cross multiply
    7,834.89x = 11,762.77 × 4,550.34
  4. Step 4: Simplify right side
    7,834.89x = 53,524,644.11
  5. Step 5: Solve for x
    x = 53,524,644.11/7,834.89
  6. Step 6: Final answer
    x = 6,831.57

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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.