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Finding the Fourth Proportional to 8,300.52, 12,453.48 and 6,453.72

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Solution

The fourth proportional to 8,300.52, 12,453.48 and 6,453.72 is: 9,682.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,300.52 : 12,453.48 = 6,453.72 : x
  2. Step 2: Convert to fraction form
    8,300.52/12,453.48 = 6,453.72/x
  3. Step 3: Cross multiply
    8,300.52x = 12,453.48 × 6,453.72
  4. Step 4: Simplify right side
    8,300.52x = 80,371,272.95
  5. Step 5: Solve for x
    x = 80,371,272.95/8,300.52
  6. Step 6: Final answer
    x = 9,682.68

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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.