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Finding the Fourth Proportional to 11,413.94, 17,125.86 and 4,023.68

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Solution

The fourth proportional to 11,413.94, 17,125.86 and 4,023.68 is: 6,037.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,413.94 : 17,125.86 = 4,023.68 : x
  2. Step 2: Convert to fraction form
    11,413.94/17,125.86 = 4,023.68/x
  3. Step 3: Cross multiply
    11,413.94x = 17,125.86 × 4,023.68
  4. Step 4: Simplify right side
    11,413.94x = 68,909,038.27
  5. Step 5: Solve for x
    x = 68,909,038.27/11,413.94
  6. Step 6: Final answer
    x = 6,037.27

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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.