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Finding the Fourth Proportional to 28,364.56, 42,553.16 and 8,644.64

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Solution

The fourth proportional to 28,364.56, 42,553.16 and 8,644.64 is: 12,968.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,364.56 : 42,553.16 = 8,644.64 : x
  2. Step 2: Convert to fraction form
    28,364.56/42,553.16 = 8,644.64/x
  3. Step 3: Cross multiply
    28,364.56x = 42,553.16 × 8,644.64
  4. Step 4: Simplify right side
    28,364.56x = 367,856,749.06
  5. Step 5: Solve for x
    x = 367,856,749.06/28,364.56
  6. Step 6: Final answer
    x = 12,968.89

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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.