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Finding the Fourth Proportional to 11,632.63, 16,052.95 and 6,327.44

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Solution

The fourth proportional to 11,632.63, 16,052.95 and 6,327.44 is: 8,731.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,632.63 : 16,052.95 = 6,327.44 : x
  2. Step 2: Convert to fraction form
    11,632.63/16,052.95 = 6,327.44/x
  3. Step 3: Cross multiply
    11,632.63x = 16,052.95 × 6,327.44
  4. Step 4: Simplify right side
    11,632.63x = 101,574,077.95
  5. Step 5: Solve for x
    x = 101,574,077.95/11,632.63
  6. Step 6: Final answer
    x = 8,731.82

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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.