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Finding the Fourth Proportional to 10,772.60, 16,158.69 and 7,596.99

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Solution

The fourth proportional to 10,772.60, 16,158.69 and 7,596.99 is: 11,395.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772.60 : 16,158.69 = 7,596.99 : x
  2. Step 2: Convert to fraction form
    10,772.60/16,158.69 = 7,596.99/x
  3. Step 3: Cross multiply
    10,772.60x = 16,158.69 × 7,596.99
  4. Step 4: Simplify right side
    10,772.60x = 122,757,406.34
  5. Step 5: Solve for x
    x = 122,757,406.34/10,772.60
  6. Step 6: Final answer
    x = 11,395.34

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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.