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Finding the Fourth Proportional to 8,664.96, 12,992.64 and 4,045.44

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Solution

The fourth proportional to 8,664.96, 12,992.64 and 4,045.44 is: 6,065.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,664.96 : 12,992.64 = 4,045.44 : x
  2. Step 2: Convert to fraction form
    8,664.96/12,992.64 = 4,045.44/x
  3. Step 3: Cross multiply
    8,664.96x = 12,992.64 × 4,045.44
  4. Step 4: Simplify right side
    8,664.96x = 52,560,945.56
  5. Step 5: Solve for x
    x = 52,560,945.56/8,664.96
  6. Step 6: Final answer
    x = 6,065.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.