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Finding the Fourth Proportional to 7,682.90, 11,520.56 and 2,488.10

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Solution

The fourth proportional to 7,682.90, 11,520.56 and 2,488.10 is: 3,730.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.90 : 11,520.56 = 2,488.10 : x
  2. Step 2: Convert to fraction form
    7,682.90/11,520.56 = 2,488.10/x
  3. Step 3: Cross multiply
    7,682.90x = 11,520.56 × 2,488.10
  4. Step 4: Simplify right side
    7,682.90x = 28,664,305.34
  5. Step 5: Solve for x
    x = 28,664,305.34/7,682.90
  6. Step 6: Final answer
    x = 3,730.92

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