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Finding the Fourth Proportional to 10,246.40, 15,371.40 and 3,676.40

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Solution

The fourth proportional to 10,246.40, 15,371.40 and 3,676.40 is: 5,515.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,246.40 : 15,371.40 = 3,676.40 : x
  2. Step 2: Convert to fraction form
    10,246.40/15,371.40 = 3,676.40/x
  3. Step 3: Cross multiply
    10,246.40x = 15,371.40 × 3,676.40
  4. Step 4: Simplify right side
    10,246.40x = 56,511,414.96
  5. Step 5: Solve for x
    x = 56,511,414.96/10,246.40
  6. Step 6: Final answer
    x = 5,515.25

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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.