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Finding the Fourth Proportional to 7,676.64, 11,506.32 and 3,564

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Solution

The fourth proportional to 7,676.64, 11,506.32 and 3,564 is: 5,341.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.64 : 11,506.32 = 3,564 : x
  2. Step 2: Convert to fraction form
    7,676.64/11,506.32 = 3,564/x
  3. Step 3: Cross multiply
    7,676.64x = 11,506.32 × 3,564
  4. Step 4: Simplify right side
    7,676.64x = 41,008,524.48
  5. Step 5: Solve for x
    x = 41,008,524.48/7,676.64
  6. Step 6: Final answer
    x = 5,341.99

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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.