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Finding the Fourth Proportional to 8,461.46, 11,676.91 and 4,684.69

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Solution

The fourth proportional to 8,461.46, 11,676.91 and 4,684.69 is: 6,464.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.46 : 11,676.91 = 4,684.69 : x
  2. Step 2: Convert to fraction form
    8,461.46/11,676.91 = 4,684.69/x
  3. Step 3: Cross multiply
    8,461.46x = 11,676.91 × 4,684.69
  4. Step 4: Simplify right side
    8,461.46x = 54,702,645.12
  5. Step 5: Solve for x
    x = 54,702,645.12/8,461.46
  6. Step 6: Final answer
    x = 6,464.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.