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Finding the Fourth Proportional to 10,622.94, 15,934.47 and 2,831.73

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Solution

The fourth proportional to 10,622.94, 15,934.47 and 2,831.73 is: 4,247.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,622.94 : 15,934.47 = 2,831.73 : x
  2. Step 2: Convert to fraction form
    10,622.94/15,934.47 = 2,831.73/x
  3. Step 3: Cross multiply
    10,622.94x = 15,934.47 × 2,831.73
  4. Step 4: Simplify right side
    10,622.94x = 45,122,116.73
  5. Step 5: Solve for x
    x = 45,122,116.73/10,622.94
  6. Step 6: Final answer
    x = 4,247.61

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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.