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Finding the Fourth Proportional to 8,682.30, 13,023.45 and 8,342.10

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Solution

The fourth proportional to 8,682.30, 13,023.45 and 8,342.10 is: 12,513.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,682.30 : 13,023.45 = 8,342.10 : x
  2. Step 2: Convert to fraction form
    8,682.30/13,023.45 = 8,342.10/x
  3. Step 3: Cross multiply
    8,682.30x = 13,023.45 × 8,342.10
  4. Step 4: Simplify right side
    8,682.30x = 108,642,922.25
  5. Step 5: Solve for x
    x = 108,642,922.25/8,682.30
  6. Step 6: Final answer
    x = 12,513.15

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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.