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Finding the Fourth Proportional to 8,509.40, 12,751.62 and 4,286.87

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Solution

The fourth proportional to 8,509.40, 12,751.62 and 4,286.87 is: 6,424.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.40 : 12,751.62 = 4,286.87 : x
  2. Step 2: Convert to fraction form
    8,509.40/12,751.62 = 4,286.87/x
  3. Step 3: Cross multiply
    8,509.40x = 12,751.62 × 4,286.87
  4. Step 4: Simplify right side
    8,509.40x = 54,664,537.23
  5. Step 5: Solve for x
    x = 54,664,537.23/8,509.40
  6. Step 6: Final answer
    x = 6,424.02

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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.