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Finding the Fourth Proportional to 8,499.62, 12,745.06 and 3,815.63

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Solution

The fourth proportional to 8,499.62, 12,745.06 and 3,815.63 is: 5,721.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,499.62 : 12,745.06 = 3,815.63 : x
  2. Step 2: Convert to fraction form
    8,499.62/12,745.06 = 3,815.63/x
  3. Step 3: Cross multiply
    8,499.62x = 12,745.06 × 3,815.63
  4. Step 4: Simplify right side
    8,499.62x = 48,630,360.02
  5. Step 5: Solve for x
    x = 48,630,360.02/8,499.62
  6. Step 6: Final answer
    x = 5,721.47

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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.