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Finding the Fourth Proportional to 8,413.18, 11,610.12 and 4,636.50

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Solution

The fourth proportional to 8,413.18, 11,610.12 and 4,636.50 is: 6,398.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.18 : 11,610.12 = 4,636.50 : x
  2. Step 2: Convert to fraction form
    8,413.18/11,610.12 = 4,636.50/x
  3. Step 3: Cross multiply
    8,413.18x = 11,610.12 × 4,636.50
  4. Step 4: Simplify right side
    8,413.18x = 53,830,321.38
  5. Step 5: Solve for x
    x = 53,830,321.38/8,413.18
  6. Step 6: Final answer
    x = 6,398.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.