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Finding the Fourth Proportional to 11,738.98, 16,198.95 and 6,432.94

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Solution

The fourth proportional to 11,738.98, 16,198.95 and 6,432.94 is: 8,877.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,738.98 : 16,198.95 = 6,432.94 : x
  2. Step 2: Convert to fraction form
    11,738.98/16,198.95 = 6,432.94/x
  3. Step 3: Cross multiply
    11,738.98x = 16,198.95 × 6,432.94
  4. Step 4: Simplify right side
    11,738.98x = 104,206,873.41
  5. Step 5: Solve for x
    x = 104,206,873.41/11,738.98
  6. Step 6: Final answer
    x = 8,877.00

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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.