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Finding the Fourth Proportional to 10,672.96, 14,728.44 and 5,957.68

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Solution

The fourth proportional to 10,672.96, 14,728.44 and 5,957.68 is: 8,221.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672.96 : 14,728.44 = 5,957.68 : x
  2. Step 2: Convert to fraction form
    10,672.96/14,728.44 = 5,957.68/x
  3. Step 3: Cross multiply
    10,672.96x = 14,728.44 × 5,957.68
  4. Step 4: Simplify right side
    10,672.96x = 87,747,332.42
  5. Step 5: Solve for x
    x = 87,747,332.42/10,672.96
  6. Step 6: Final answer
    x = 8,221.46

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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.