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Finding the Fourth Proportional to 10,725.66, 16,082.46 and 4,478.94

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Solution

The fourth proportional to 10,725.66, 16,082.46 and 4,478.94 is: 6,715.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,725.66 : 16,082.46 = 4,478.94 : x
  2. Step 2: Convert to fraction form
    10,725.66/16,082.46 = 4,478.94/x
  3. Step 3: Cross multiply
    10,725.66x = 16,082.46 × 4,478.94
  4. Step 4: Simplify right side
    10,725.66x = 72,032,373.39
  5. Step 5: Solve for x
    x = 72,032,373.39/10,725.66
  6. Step 6: Final answer
    x = 6,715.89

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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.