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Finding the Fourth Proportional to 7,831.54, 11,745.06 and 2,419.84

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Solution

The fourth proportional to 7,831.54, 11,745.06 and 2,419.84 is: 3,629.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.54 : 11,745.06 = 2,419.84 : x
  2. Step 2: Convert to fraction form
    7,831.54/11,745.06 = 2,419.84/x
  3. Step 3: Cross multiply
    7,831.54x = 11,745.06 × 2,419.84
  4. Step 4: Simplify right side
    7,831.54x = 28,421,165.99
  5. Step 5: Solve for x
    x = 28,421,165.99/7,831.54
  6. Step 6: Final answer
    x = 3,629.06

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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.