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Finding the Fourth Proportional to 10,413.90, 14,368.89 and 6,162.84

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Solution

The fourth proportional to 10,413.90, 14,368.89 and 6,162.84 is: 8,503.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,413.90 : 14,368.89 = 6,162.84 : x
  2. Step 2: Convert to fraction form
    10,413.90/14,368.89 = 6,162.84/x
  3. Step 3: Cross multiply
    10,413.90x = 14,368.89 × 6,162.84
  4. Step 4: Simplify right side
    10,413.90x = 88,553,203.26
  5. Step 5: Solve for x
    x = 88,553,203.26/10,413.90
  6. Step 6: Final answer
    x = 8,503.37

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