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Finding the Fourth Proportional to 10,916.94, 16,375.80 and 3,521.50

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Solution

The fourth proportional to 10,916.94, 16,375.80 and 3,521.50 is: 5,282.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,916.94 : 16,375.80 = 3,521.50 : x
  2. Step 2: Convert to fraction form
    10,916.94/16,375.80 = 3,521.50/x
  3. Step 3: Cross multiply
    10,916.94x = 16,375.80 × 3,521.50
  4. Step 4: Simplify right side
    10,916.94x = 57,667,379.70
  5. Step 5: Solve for x
    x = 57,667,379.70/10,916.94
  6. Step 6: Final answer
    x = 5,282.38

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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.