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Finding the Fourth Proportional to 11,827.76, 16,322.10 and 6,523.06

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Solution

The fourth proportional to 11,827.76, 16,322.10 and 6,523.06 is: 9,001.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,827.76 : 16,322.10 = 6,523.06 : x
  2. Step 2: Convert to fraction form
    11,827.76/16,322.10 = 6,523.06/x
  3. Step 3: Cross multiply
    11,827.76x = 16,322.10 × 6,523.06
  4. Step 4: Simplify right side
    11,827.76x = 106,470,037.63
  5. Step 5: Solve for x
    x = 106,470,037.63/11,827.76
  6. Step 6: Final answer
    x = 9,001.71

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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.