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Finding the Fourth Proportional to 10,855.16, 16,271.80 and 4,278.80

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Solution

The fourth proportional to 10,855.16, 16,271.80 and 4,278.80 is: 6,413.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,855.16 : 16,271.80 = 4,278.80 : x
  2. Step 2: Convert to fraction form
    10,855.16/16,271.80 = 4,278.80/x
  3. Step 3: Cross multiply
    10,855.16x = 16,271.80 × 4,278.80
  4. Step 4: Simplify right side
    10,855.16x = 69,623,777.84
  5. Step 5: Solve for x
    x = 69,623,777.84/10,855.16
  6. Step 6: Final answer
    x = 6,413.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.