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Finding the Fourth Proportional to 8,461.33, 11,675.86 and 4,684.31

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Solution

The fourth proportional to 8,461.33, 11,675.86 and 4,684.31 is: 6,463.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.33 : 11,675.86 = 4,684.31 : x
  2. Step 2: Convert to fraction form
    8,461.33/11,675.86 = 4,684.31/x
  3. Step 3: Cross multiply
    8,461.33x = 11,675.86 × 4,684.31
  4. Step 4: Simplify right side
    8,461.33x = 54,693,354.26
  5. Step 5: Solve for x
    x = 54,693,354.26/8,461.33
  6. Step 6: Final answer
    x = 6,463.92

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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.