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Finding the Fourth Proportional to 6,871.96, 10,306.56 and 4,399.30

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Solution

The fourth proportional to 6,871.96, 10,306.56 and 4,399.30 is: 6,598.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.96 : 10,306.56 = 4,399.30 : x
  2. Step 2: Convert to fraction form
    6,871.96/10,306.56 = 4,399.30/x
  3. Step 3: Cross multiply
    6,871.96x = 10,306.56 × 4,399.30
  4. Step 4: Simplify right side
    6,871.96x = 45,341,649.41
  5. Step 5: Solve for x
    x = 45,341,649.41/6,871.96
  6. Step 6: Final answer
    x = 6,598.07

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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.