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Finding the Fourth Proportional to 11,624.04, 16,043 and 6,844.84

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Solution

The fourth proportional to 11,624.04, 16,043 and 6,844.84 is: 9,446.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624.04 : 16,043 = 6,844.84 : x
  2. Step 2: Convert to fraction form
    11,624.04/16,043 = 6,844.84/x
  3. Step 3: Cross multiply
    11,624.04x = 16,043 × 6,844.84
  4. Step 4: Simplify right side
    11,624.04x = 109,811,768.12
  5. Step 5: Solve for x
    x = 109,811,768.12/11,624.04
  6. Step 6: Final answer
    x = 9,446.95

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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.