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Finding the Fourth Proportional to 10,725.71, 16,082.03 and 4,801.46

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Solution

The fourth proportional to 10,725.71, 16,082.03 and 4,801.46 is: 7,199.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,725.71 : 16,082.03 = 4,801.46 : x
  2. Step 2: Convert to fraction form
    10,725.71/16,082.03 = 4,801.46/x
  3. Step 3: Cross multiply
    10,725.71x = 16,082.03 × 4,801.46
  4. Step 4: Simplify right side
    10,725.71x = 77,217,119.35
  5. Step 5: Solve for x
    x = 77,217,119.35/10,725.71
  6. Step 6: Final answer
    x = 7,199.26

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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.