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Finding the Fourth Proportional to 11,632.21, 16,051.78 and 6,327.02

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Solution

The fourth proportional to 11,632.21, 16,051.78 and 6,327.02 is: 8,730.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,632.21 : 16,051.78 = 6,327.02 : x
  2. Step 2: Convert to fraction form
    11,632.21/16,051.78 = 6,327.02/x
  3. Step 3: Cross multiply
    11,632.21x = 16,051.78 × 6,327.02
  4. Step 4: Simplify right side
    11,632.21x = 101,559,933.10
  5. Step 5: Solve for x
    x = 101,559,933.10/11,632.21
  6. Step 6: Final answer
    x = 8,730.92

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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.