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Finding the Fourth Proportional to 11,827.62, 16,322.01 and 6,522.48

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Solution

The fourth proportional to 11,827.62, 16,322.01 and 6,522.48 is: 9,000.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,827.62 : 16,322.01 = 6,522.48 : x
  2. Step 2: Convert to fraction form
    11,827.62/16,322.01 = 6,522.48/x
  3. Step 3: Cross multiply
    11,827.62x = 16,322.01 × 6,522.48
  4. Step 4: Simplify right side
    11,827.62x = 106,459,983.78
  5. Step 5: Solve for x
    x = 106,459,983.78/11,827.62
  6. Step 6: Final answer
    x = 9,000.96

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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.