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Finding the Fourth Proportional to 7,831.46, 11,745.93 and 2,899.97

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Solution

The fourth proportional to 7,831.46, 11,745.93 and 2,899.97 is: 4,349.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.46 : 11,745.93 = 2,899.97 : x
  2. Step 2: Convert to fraction form
    7,831.46/11,745.93 = 2,899.97/x
  3. Step 3: Cross multiply
    7,831.46x = 11,745.93 × 2,899.97
  4. Step 4: Simplify right side
    7,831.46x = 34,062,844.62
  5. Step 5: Solve for x
    x = 34,062,844.62/7,831.46
  6. Step 6: Final answer
    x = 4,349.49

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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.