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Finding the Fourth Proportional to 8,261.97, 11,402.07 and 4,676.92

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Solution

The fourth proportional to 8,261.97, 11,402.07 and 4,676.92 is: 6,454.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,261.97 : 11,402.07 = 4,676.92 : x
  2. Step 2: Convert to fraction form
    8,261.97/11,402.07 = 4,676.92/x
  3. Step 3: Cross multiply
    8,261.97x = 11,402.07 × 4,676.92
  4. Step 4: Simplify right side
    8,261.97x = 53,326,569.22
  5. Step 5: Solve for x
    x = 53,326,569.22/8,261.97
  6. Step 6: Final answer
    x = 6,454.46

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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.