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Finding the Fourth Proportional to 10,413.80, 14,375.70 and 7,896.20

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Solution

The fourth proportional to 10,413.80, 14,375.70 and 7,896.20 is: 10,900.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,413.80 : 14,375.70 = 7,896.20 : x
  2. Step 2: Convert to fraction form
    10,413.80/14,375.70 = 7,896.20/x
  3. Step 3: Cross multiply
    10,413.80x = 14,375.70 × 7,896.20
  4. Step 4: Simplify right side
    10,413.80x = 113,513,402.34
  5. Step 5: Solve for x
    x = 113,513,402.34/10,413.80
  6. Step 6: Final answer
    x = 10,900.29

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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.