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Finding the Fourth Proportional to 8,461.50, 11,676.31 and 4,684.45

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Solution

The fourth proportional to 8,461.50, 11,676.31 and 4,684.45 is: 6,464.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.50 : 11,676.31 = 4,684.45 : x
  2. Step 2: Convert to fraction form
    8,461.50/11,676.31 = 4,684.45/x
  3. Step 3: Cross multiply
    8,461.50x = 11,676.31 × 4,684.45
  4. Step 4: Simplify right side
    8,461.50x = 54,697,090.38
  5. Step 5: Solve for x
    x = 54,697,090.38/8,461.50
  6. Step 6: Final answer
    x = 6,464.23

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Why These Related Problems?

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