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Finding the Fourth Proportional to 10,901.98, 16,349.73 and 3,977.02

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Solution

The fourth proportional to 10,901.98, 16,349.73 and 3,977.02 is: 5,964.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,901.98 : 16,349.73 = 3,977.02 : x
  2. Step 2: Convert to fraction form
    10,901.98/16,349.73 = 3,977.02/x
  3. Step 3: Cross multiply
    10,901.98x = 16,349.73 × 3,977.02
  4. Step 4: Simplify right side
    10,901.98x = 65,023,203.20
  5. Step 5: Solve for x
    x = 65,023,203.20/10,901.98
  6. Step 6: Final answer
    x = 5,964.35

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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.