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Finding the Fourth Proportional to 10,622.56, 15,934.56 and 2,831.44

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Solution

The fourth proportional to 10,622.56, 15,934.56 and 2,831.44 is: 4,247.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,622.56 : 15,934.56 = 2,831.44 : x
  2. Step 2: Convert to fraction form
    10,622.56/15,934.56 = 2,831.44/x
  3. Step 3: Cross multiply
    10,622.56x = 15,934.56 × 2,831.44
  4. Step 4: Simplify right side
    10,622.56x = 45,117,750.57
  5. Step 5: Solve for x
    x = 45,117,750.57/10,622.56
  6. Step 6: Final answer
    x = 4,247.35

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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.