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Finding the Fourth Proportional to 11,827.99, 16,322.43 and 6,523.17

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Solution

The fourth proportional to 11,827.99, 16,322.43 and 6,523.17 is: 9,001.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,827.99 : 16,322.43 = 6,523.17 : x
  2. Step 2: Convert to fraction form
    11,827.99/16,322.43 = 6,523.17/x
  3. Step 3: Cross multiply
    11,827.99x = 16,322.43 × 6,523.17
  4. Step 4: Simplify right side
    11,827.99x = 106,473,985.70
  5. Step 5: Solve for x
    x = 106,473,985.70/11,827.99
  6. Step 6: Final answer
    x = 9,001.87

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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.