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Finding the Fourth Proportional to 10,676.80, 16,022.40 and 4,830.40

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Solution

The fourth proportional to 10,676.80, 16,022.40 and 4,830.40 is: 7,248.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.80 : 16,022.40 = 4,830.40 : x
  2. Step 2: Convert to fraction form
    10,676.80/16,022.40 = 4,830.40/x
  3. Step 3: Cross multiply
    10,676.80x = 16,022.40 × 4,830.40
  4. Step 4: Simplify right side
    10,676.80x = 77,394,600.96
  5. Step 5: Solve for x
    x = 77,394,600.96/10,676.80
  6. Step 6: Final answer
    x = 7,248.86

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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.