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Finding the Fourth Proportional to 10,855.78, 16,283.37 and 3,460.68

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Solution

The fourth proportional to 10,855.78, 16,283.37 and 3,460.68 is: 5,190.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,855.78 : 16,283.37 = 3,460.68 : x
  2. Step 2: Convert to fraction form
    10,855.78/16,283.37 = 3,460.68/x
  3. Step 3: Cross multiply
    10,855.78x = 16,283.37 × 3,460.68
  4. Step 4: Simplify right side
    10,855.78x = 56,351,532.89
  5. Step 5: Solve for x
    x = 56,351,532.89/10,855.78
  6. Step 6: Final answer
    x = 5,190.92

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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.