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Finding the Fourth Proportional to 11,096.49, 16,624.68 and 6,934.50

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Solution

The fourth proportional to 11,096.49, 16,624.68 and 6,934.50 is: 10,389.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,096.49 : 16,624.68 = 6,934.50 : x
  2. Step 2: Convert to fraction form
    11,096.49/16,624.68 = 6,934.50/x
  3. Step 3: Cross multiply
    11,096.49x = 16,624.68 × 6,934.50
  4. Step 4: Simplify right side
    11,096.49x = 115,283,843.46
  5. Step 5: Solve for x
    x = 115,283,843.46/11,096.49
  6. Step 6: Final answer
    x = 10,389.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.