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Finding the Fourth Proportional to 10,622.44, 15,933.39 and 2,831.23

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Solution

The fourth proportional to 10,622.44, 15,933.39 and 2,831.23 is: 4,246.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,622.44 : 15,933.39 = 2,831.23 : x
  2. Step 2: Convert to fraction form
    10,622.44/15,933.39 = 2,831.23/x
  3. Step 3: Cross multiply
    10,622.44x = 15,933.39 × 2,831.23
  4. Step 4: Simplify right side
    10,622.44x = 45,111,091.77
  5. Step 5: Solve for x
    x = 45,111,091.77/10,622.44
  6. Step 6: Final answer
    x = 4,246.77

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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.