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Finding the Fourth Proportional to 6,676.29, 10,024.62 and 5,649.75

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Solution

The fourth proportional to 6,676.29, 10,024.62 and 5,649.75 is: 8,483.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,676.29 : 10,024.62 = 5,649.75 : x
  2. Step 2: Convert to fraction form
    6,676.29/10,024.62 = 5,649.75/x
  3. Step 3: Cross multiply
    6,676.29x = 10,024.62 × 5,649.75
  4. Step 4: Simplify right side
    6,676.29x = 56,636,546.72
  5. Step 5: Solve for x
    x = 56,636,546.72/6,676.29
  6. Step 6: Final answer
    x = 8,483.24

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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.