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Finding the Fourth Proportional to 10,954.40, 16,431.60 and 4,031.60

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Solution

The fourth proportional to 10,954.40, 16,431.60 and 4,031.60 is: 6,047.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954.40 : 16,431.60 = 4,031.60 : x
  2. Step 2: Convert to fraction form
    10,954.40/16,431.60 = 4,031.60/x
  3. Step 3: Cross multiply
    10,954.40x = 16,431.60 × 4,031.60
  4. Step 4: Simplify right side
    10,954.40x = 66,245,638.56
  5. Step 5: Solve for x
    x = 66,245,638.56/10,954.40
  6. Step 6: Final answer
    x = 6,047.40

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Why These Related Problems?

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