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Finding the Fourth Proportional to 10,954.90, 16,439.10 and 4,380.40

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Solution

The fourth proportional to 10,954.90, 16,439.10 and 4,380.40 is: 6,573.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954.90 : 16,439.10 = 4,380.40 : x
  2. Step 2: Convert to fraction form
    10,954.90/16,439.10 = 4,380.40/x
  3. Step 3: Cross multiply
    10,954.90x = 16,439.10 × 4,380.40
  4. Step 4: Simplify right side
    10,954.90x = 72,009,833.64
  5. Step 5: Solve for x
    x = 72,009,833.64/10,954.90
  6. Step 6: Final answer
    x = 6,573.30

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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.