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Finding the Fourth Proportional to 10,269.66, 15,396.64 and 8,509.26

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Solution

The fourth proportional to 10,269.66, 15,396.64 and 8,509.26 is: 12,757.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,269.66 : 15,396.64 = 8,509.26 : x
  2. Step 2: Convert to fraction form
    10,269.66/15,396.64 = 8,509.26/x
  3. Step 3: Cross multiply
    10,269.66x = 15,396.64 × 8,509.26
  4. Step 4: Simplify right side
    10,269.66x = 131,014,012.89
  5. Step 5: Solve for x
    x = 131,014,012.89/10,269.66
  6. Step 6: Final answer
    x = 12,757.39

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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.