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Finding the Fourth Proportional to 10,725.84, 16,082.52 and 4,483.96

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Solution

The fourth proportional to 10,725.84, 16,082.52 and 4,483.96 is: 6,723.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,725.84 : 16,082.52 = 4,483.96 : x
  2. Step 2: Convert to fraction form
    10,725.84/16,082.52 = 4,483.96/x
  3. Step 3: Cross multiply
    10,725.84x = 16,082.52 × 4,483.96
  4. Step 4: Simplify right side
    10,725.84x = 72,113,376.38
  5. Step 5: Solve for x
    x = 72,113,376.38/10,725.84
  6. Step 6: Final answer
    x = 6,723.33

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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.