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Finding the Fourth Proportional to 7,951.88, 11,923.76 and 4,671.38

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Solution

The fourth proportional to 7,951.88, 11,923.76 and 4,671.38 is: 7,004.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951.88 : 11,923.76 = 4,671.38 : x
  2. Step 2: Convert to fraction form
    7,951.88/11,923.76 = 4,671.38/x
  3. Step 3: Cross multiply
    7,951.88x = 11,923.76 × 4,671.38
  4. Step 4: Simplify right side
    7,951.88x = 55,700,413.99
  5. Step 5: Solve for x
    x = 55,700,413.99/7,951.88
  6. Step 6: Final answer
    x = 7,004.68

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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.