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Finding the Fourth Proportional to 10,840.37, 16,269.84 and 7,727.99

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Solution

The fourth proportional to 10,840.37, 16,269.84 and 7,727.99 is: 11,598.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,840.37 : 16,269.84 = 7,727.99 : x
  2. Step 2: Convert to fraction form
    10,840.37/16,269.84 = 7,727.99/x
  3. Step 3: Cross multiply
    10,840.37x = 16,269.84 × 7,727.99
  4. Step 4: Simplify right side
    10,840.37x = 125,733,079.47
  5. Step 5: Solve for x
    x = 125,733,079.47/10,840.37
  6. Step 6: Final answer
    x = 11,598.60

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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.