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Finding the Fourth Proportional to 8,511.72, 12,693.09 and 8,433.96

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Solution

The fourth proportional to 8,511.72, 12,693.09 and 8,433.96 is: 12,577.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.72 : 12,693.09 = 8,433.96 : x
  2. Step 2: Convert to fraction form
    8,511.72/12,693.09 = 8,433.96/x
  3. Step 3: Cross multiply
    8,511.72x = 12,693.09 × 8,433.96
  4. Step 4: Simplify right side
    8,511.72x = 107,053,013.34
  5. Step 5: Solve for x
    x = 107,053,013.34/8,511.72
  6. Step 6: Final answer
    x = 12,577.13

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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.