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Finding the Fourth Proportional to 11,457.37, 15,811.80 and 6,423.21

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Solution

The fourth proportional to 11,457.37, 15,811.80 and 6,423.21 is: 8,864.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,457.37 : 15,811.80 = 6,423.21 : x
  2. Step 2: Convert to fraction form
    11,457.37/15,811.80 = 6,423.21/x
  3. Step 3: Cross multiply
    11,457.37x = 15,811.80 × 6,423.21
  4. Step 4: Simplify right side
    11,457.37x = 101,562,523.92
  5. Step 5: Solve for x
    x = 101,562,523.92/11,457.37
  6. Step 6: Final answer
    x = 8,864.38

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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.