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Finding the Fourth Proportional to 10,954.84, 16,436.72 and 5,107.85

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Solution

The fourth proportional to 10,954.84, 16,436.72 and 5,107.85 is: 7,663.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954.84 : 16,436.72 = 5,107.85 : x
  2. Step 2: Convert to fraction form
    10,954.84/16,436.72 = 5,107.85/x
  3. Step 3: Cross multiply
    10,954.84x = 16,436.72 × 5,107.85
  4. Step 4: Simplify right side
    10,954.84x = 83,956,274.71
  5. Step 5: Solve for x
    x = 83,956,274.71/10,954.84
  6. Step 6: Final answer
    x = 7,663.86

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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.