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Finding the Fourth Proportional to 10,180.80, 14,047.05 and 6,822.39

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Solution

The fourth proportional to 10,180.80, 14,047.05 and 6,822.39 is: 9,413.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,180.80 : 14,047.05 = 6,822.39 : x
  2. Step 2: Convert to fraction form
    10,180.80/14,047.05 = 6,822.39/x
  3. Step 3: Cross multiply
    10,180.80x = 14,047.05 × 6,822.39
  4. Step 4: Simplify right side
    10,180.80x = 95,834,453.45
  5. Step 5: Solve for x
    x = 95,834,453.45/10,180.80
  6. Step 6: Final answer
    x = 9,413.25

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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.