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Finding the Fourth Proportional to 10,670.46, 14,725.24 and 5,954.74

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Solution

The fourth proportional to 10,670.46, 14,725.24 and 5,954.74 is: 8,217.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,670.46 : 14,725.24 = 5,954.74 : x
  2. Step 2: Convert to fraction form
    10,670.46/14,725.24 = 5,954.74/x
  3. Step 3: Cross multiply
    10,670.46x = 14,725.24 × 5,954.74
  4. Step 4: Simplify right side
    10,670.46x = 87,684,902.01
  5. Step 5: Solve for x
    x = 87,684,902.01/10,670.46
  6. Step 6: Final answer
    x = 8,217.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.