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Finding the Fourth Proportional to 10,413.54, 14,371.05 and 5,697.83

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Solution

The fourth proportional to 10,413.54, 14,371.05 and 5,697.83 is: 7,863.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,413.54 : 14,371.05 = 5,697.83 : x
  2. Step 2: Convert to fraction form
    10,413.54/14,371.05 = 5,697.83/x
  3. Step 3: Cross multiply
    10,413.54x = 14,371.05 × 5,697.83
  4. Step 4: Simplify right side
    10,413.54x = 81,883,799.82
  5. Step 5: Solve for x
    x = 81,883,799.82/10,413.54
  6. Step 6: Final answer
    x = 7,863.21

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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.