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Finding the Fourth Proportional to 7,831.78, 11,750.74 and 3,446.16

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Solution

The fourth proportional to 7,831.78, 11,750.74 and 3,446.16 is: 5,170.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.78 : 11,750.74 = 3,446.16 : x
  2. Step 2: Convert to fraction form
    7,831.78/11,750.74 = 3,446.16/x
  3. Step 3: Cross multiply
    7,831.78x = 11,750.74 × 3,446.16
  4. Step 4: Simplify right side
    7,831.78x = 40,494,877.48
  5. Step 5: Solve for x
    x = 40,494,877.48/7,831.78
  6. Step 6: Final answer
    x = 5,170.59

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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.