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Finding the Fourth Proportional to 8,676.78, 13,007.34 and 3,126.21

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Solution

The fourth proportional to 8,676.78, 13,007.34 and 3,126.21 is: 4,686.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,676.78 : 13,007.34 = 3,126.21 : x
  2. Step 2: Convert to fraction form
    8,676.78/13,007.34 = 3,126.21/x
  3. Step 3: Cross multiply
    8,676.78x = 13,007.34 × 3,126.21
  4. Step 4: Simplify right side
    8,676.78x = 40,663,676.38
  5. Step 5: Solve for x
    x = 40,663,676.38/8,676.78
  6. Step 6: Final answer
    x = 4,686.49

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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.