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Finding the Fourth Proportional to 11,652.50, 17,474.49 and 4,254.77

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Solution

The fourth proportional to 11,652.50, 17,474.49 and 4,254.77 is: 6,380.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652.50 : 17,474.49 = 4,254.77 : x
  2. Step 2: Convert to fraction form
    11,652.50/17,474.49 = 4,254.77/x
  3. Step 3: Cross multiply
    11,652.50x = 17,474.49 × 4,254.77
  4. Step 4: Simplify right side
    11,652.50x = 74,349,848.44
  5. Step 5: Solve for x
    x = 74,349,848.44/11,652.50
  6. Step 6: Final answer
    x = 6,380.59

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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.