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Finding the Fourth Proportional to 8,392, 11,580.96 and 4,666

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Solution

The fourth proportional to 8,392, 11,580.96 and 4,666 is: 6,439.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,392 : 11,580.96 = 4,666 : x
  2. Step 2: Convert to fraction form
    8,392/11,580.96 = 4,666/x
  3. Step 3: Cross multiply
    8,392x = 11,580.96 × 4,666
  4. Step 4: Simplify right side
    8,392x = 54,036,759.36
  5. Step 5: Solve for x
    x = 54,036,759.36/8,392
  6. Step 6: Final answer
    x = 6,439.08

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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.