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Finding the Fourth Proportional to 10,670.64, 14,725.49 and 5,954.92

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Solution

The fourth proportional to 10,670.64, 14,725.49 and 5,954.92 is: 8,217.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,670.64 : 14,725.49 = 5,954.92 : x
  2. Step 2: Convert to fraction form
    10,670.64/14,725.49 = 5,954.92/x
  3. Step 3: Cross multiply
    10,670.64x = 14,725.49 × 5,954.92
  4. Step 4: Simplify right side
    10,670.64x = 87,689,114.91
  5. Step 5: Solve for x
    x = 87,689,114.91/10,670.64
  6. Step 6: Final answer
    x = 8,217.79

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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.