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Finding the Fourth Proportional to 10,902.52, 16,356.20 and 3,977

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Solution

The fourth proportional to 10,902.52, 16,356.20 and 3,977 is: 5,966.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.52 : 16,356.20 = 3,977 : x
  2. Step 2: Convert to fraction form
    10,902.52/16,356.20 = 3,977/x
  3. Step 3: Cross multiply
    10,902.52x = 16,356.20 × 3,977
  4. Step 4: Simplify right side
    10,902.52x = 65,048,607.40
  5. Step 5: Solve for x
    x = 65,048,607.40/10,902.52
  6. Step 6: Final answer
    x = 5,966.38

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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.