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Finding the Fourth Proportional to 11,612.01, 16,024.32 and 6,306.78

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Solution

The fourth proportional to 11,612.01, 16,024.32 and 6,306.78 is: 8,703.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,612.01 : 16,024.32 = 6,306.78 : x
  2. Step 2: Convert to fraction form
    11,612.01/16,024.32 = 6,306.78/x
  3. Step 3: Cross multiply
    11,612.01x = 16,024.32 × 6,306.78
  4. Step 4: Simplify right side
    11,612.01x = 101,061,860.89
  5. Step 5: Solve for x
    x = 101,061,860.89/11,612.01
  6. Step 6: Final answer
    x = 8,703.22

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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.