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Finding the Fourth Proportional to 11,611.48, 16,024.18 and 6,306.63

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Solution

The fourth proportional to 11,611.48, 16,024.18 and 6,306.63 is: 8,703.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,611.48 : 16,024.18 = 6,306.63 : x
  2. Step 2: Convert to fraction form
    11,611.48/16,024.18 = 6,306.63/x
  3. Step 3: Cross multiply
    11,611.48x = 16,024.18 × 6,306.63
  4. Step 4: Simplify right side
    11,611.48x = 101,058,645.49
  5. Step 5: Solve for x
    x = 101,058,645.49/11,611.48
  6. Step 6: Final answer
    x = 8,703.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.