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Finding the Fourth Proportional to 28,524.98, 42,787.32 and 7,748.48

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Solution

The fourth proportional to 28,524.98, 42,787.32 and 7,748.48 is: 11,622.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,524.98 : 42,787.32 = 7,748.48 : x
  2. Step 2: Convert to fraction form
    28,524.98/42,787.32 = 7,748.48/x
  3. Step 3: Cross multiply
    28,524.98x = 42,787.32 × 7,748.48
  4. Step 4: Simplify right side
    28,524.98x = 331,536,693.27
  5. Step 5: Solve for x
    x = 331,536,693.27/28,524.98
  6. Step 6: Final answer
    x = 11,622.68

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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.