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Finding the Fourth Proportional to 7,234.41, 10,831.64 and 3,716.83

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Solution

The fourth proportional to 7,234.41, 10,831.64 and 3,716.83 is: 5,564.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.41 : 10,831.64 = 3,716.83 : x
  2. Step 2: Convert to fraction form
    7,234.41/10,831.64 = 3,716.83/x
  3. Step 3: Cross multiply
    7,234.41x = 10,831.64 × 3,716.83
  4. Step 4: Simplify right side
    7,234.41x = 40,259,364.50
  5. Step 5: Solve for x
    x = 40,259,364.50/7,234.41
  6. Step 6: Final answer
    x = 5,564.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.