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Finding the Fourth Proportional to 10,413.56, 14,370.82 and 5,697.95

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Solution

The fourth proportional to 10,413.56, 14,370.82 and 5,697.95 is: 7,863.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,413.56 : 14,370.82 = 5,697.95 : x
  2. Step 2: Convert to fraction form
    10,413.56/14,370.82 = 5,697.95/x
  3. Step 3: Cross multiply
    10,413.56x = 14,370.82 × 5,697.95
  4. Step 4: Simplify right side
    10,413.56x = 81,884,127.72
  5. Step 5: Solve for x
    x = 81,884,127.72/10,413.56
  6. Step 6: Final answer
    x = 7,863.22

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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.