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Finding the Fourth Proportional to 11,827.68, 16,322.64 and 6,523.20

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Solution

The fourth proportional to 11,827.68, 16,322.64 and 6,523.20 is: 9,002.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,827.68 : 16,322.64 = 6,523.20 : x
  2. Step 2: Convert to fraction form
    11,827.68/16,322.64 = 6,523.20/x
  3. Step 3: Cross multiply
    11,827.68x = 16,322.64 × 6,523.20
  4. Step 4: Simplify right side
    11,827.68x = 106,475,845.25
  5. Step 5: Solve for x
    x = 106,475,845.25/11,827.68
  6. Step 6: Final answer
    x = 9,002.26

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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.