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Finding the Fourth Proportional to 8,641, 12,889.67 and 8,498.31

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Solution

The fourth proportional to 8,641, 12,889.67 and 8,498.31 is: 12,676.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,641 : 12,889.67 = 8,498.31 : x
  2. Step 2: Convert to fraction form
    8,641/12,889.67 = 8,498.31/x
  3. Step 3: Cross multiply
    8,641x = 12,889.67 × 8,498.31
  4. Step 4: Simplify right side
    8,641x = 109,540,411.46
  5. Step 5: Solve for x
    x = 109,540,411.46/8,641
  6. Step 6: Final answer
    x = 12,676.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.