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Finding the Fourth Proportional to 6,423.40, 8,871.02 and 5,727.81

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Solution

The fourth proportional to 6,423.40, 8,871.02 and 5,727.81 is: 7,910.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423.40 : 8,871.02 = 5,727.81 : x
  2. Step 2: Convert to fraction form
    6,423.40/8,871.02 = 5,727.81/x
  3. Step 3: Cross multiply
    6,423.40x = 8,871.02 × 5,727.81
  4. Step 4: Simplify right side
    6,423.40x = 50,811,543.17
  5. Step 5: Solve for x
    x = 50,811,543.17/6,423.40
  6. Step 6: Final answer
    x = 7,910.38

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Why These Related Problems?

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