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Finding the Fourth Proportional to 8,682.30, 13,013.46 and 4,302.63

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Solution

The fourth proportional to 8,682.30, 13,013.46 and 4,302.63 is: 6,448.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,682.30 : 13,013.46 = 4,302.63 : x
  2. Step 2: Convert to fraction form
    8,682.30/13,013.46 = 4,302.63/x
  3. Step 3: Cross multiply
    8,682.30x = 13,013.46 × 4,302.63
  4. Step 4: Simplify right side
    8,682.30x = 55,992,103.40
  5. Step 5: Solve for x
    x = 55,992,103.40/8,682.30
  6. Step 6: Final answer
    x = 6,448.99

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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.