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Finding the Fourth Proportional to 10,413.66, 14,371.22 and 5,697.95

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Solution

The fourth proportional to 10,413.66, 14,371.22 and 5,697.95 is: 7,863.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,413.66 : 14,371.22 = 5,697.95 : x
  2. Step 2: Convert to fraction form
    10,413.66/14,371.22 = 5,697.95/x
  3. Step 3: Cross multiply
    10,413.66x = 14,371.22 × 5,697.95
  4. Step 4: Simplify right side
    10,413.66x = 81,886,435.39
  5. Step 5: Solve for x
    x = 81,886,435.39/10,413.66
  6. Step 6: Final answer
    x = 7,863.36

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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.