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Finding the Fourth Proportional to 8,392, 11,581.44 and 4,666.24

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Solution

The fourth proportional to 8,392, 11,581.44 and 4,666.24 is: 6,439.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,392 : 11,581.44 = 4,666.24 : x
  2. Step 2: Convert to fraction form
    8,392/11,581.44 = 4,666.24/x
  3. Step 3: Cross multiply
    8,392x = 11,581.44 × 4,666.24
  4. Step 4: Simplify right side
    8,392x = 54,041,778.59
  5. Step 5: Solve for x
    x = 54,041,778.59/8,392
  6. Step 6: Final answer
    x = 6,439.68

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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.