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Finding the Fourth Proportional to 11,823.96, 17,737.70 and 4,327.91

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Solution

The fourth proportional to 11,823.96, 17,737.70 and 4,327.91 is: 6,492.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,823.96 : 17,737.70 = 4,327.91 : x
  2. Step 2: Convert to fraction form
    11,823.96/17,737.70 = 4,327.91/x
  3. Step 3: Cross multiply
    11,823.96x = 17,737.70 × 4,327.91
  4. Step 4: Simplify right side
    11,823.96x = 76,767,058.88
  5. Step 5: Solve for x
    x = 76,767,058.88/11,823.96
  6. Step 6: Final answer
    x = 6,492.50

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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.