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Finding the Fourth Proportional to 8,392.24, 11,580.84 and 4,666

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Solution

The fourth proportional to 8,392.24, 11,580.84 and 4,666 is: 6,438.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,392.24 : 11,580.84 = 4,666 : x
  2. Step 2: Convert to fraction form
    8,392.24/11,580.84 = 4,666/x
  3. Step 3: Cross multiply
    8,392.24x = 11,580.84 × 4,666
  4. Step 4: Simplify right side
    8,392.24x = 54,036,199.44
  5. Step 5: Solve for x
    x = 54,036,199.44/8,392.24
  6. Step 6: Final answer
    x = 6,438.83

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