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Finding the Fourth Proportional to 8,932.82, 13,400.64 and 3,089.88

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Solution

The fourth proportional to 8,932.82, 13,400.64 and 3,089.88 is: 4,635.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,932.82 : 13,400.64 = 3,089.88 : x
  2. Step 2: Convert to fraction form
    8,932.82/13,400.64 = 3,089.88/x
  3. Step 3: Cross multiply
    8,932.82x = 13,400.64 × 3,089.88
  4. Step 4: Simplify right side
    8,932.82x = 41,406,369.52
  5. Step 5: Solve for x
    x = 41,406,369.52/8,932.82
  6. Step 6: Final answer
    x = 4,635.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.