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Finding the Fourth Proportional to 10,386.78, 14,340.63 and 6,413.73

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Solution

The fourth proportional to 10,386.78, 14,340.63 and 6,413.73 is: 8,855.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,386.78 : 14,340.63 = 6,413.73 : x
  2. Step 2: Convert to fraction form
    10,386.78/14,340.63 = 6,413.73/x
  3. Step 3: Cross multiply
    10,386.78x = 14,340.63 × 6,413.73
  4. Step 4: Simplify right side
    10,386.78x = 91,976,928.85
  5. Step 5: Solve for x
    x = 91,976,928.85/10,386.78
  6. Step 6: Final answer
    x = 8,855.19

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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.