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Finding the Fourth Proportional to 7,682.64, 11,523.88 and 2,488.51

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Solution

The fourth proportional to 7,682.64, 11,523.88 and 2,488.51 is: 3,732.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.64 : 11,523.88 = 2,488.51 : x
  2. Step 2: Convert to fraction form
    7,682.64/11,523.88 = 2,488.51/x
  3. Step 3: Cross multiply
    7,682.64x = 11,523.88 × 2,488.51
  4. Step 4: Simplify right side
    7,682.64x = 28,677,290.62
  5. Step 5: Solve for x
    x = 28,677,290.62/7,682.64
  6. Step 6: Final answer
    x = 3,732.74

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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.