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Finding the Fourth Proportional to 11,602.02, 16,014.59 and 6,821.73

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Solution

The fourth proportional to 11,602.02, 16,014.59 and 6,821.73 is: 9,416.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.02 : 16,014.59 = 6,821.73 : x
  2. Step 2: Convert to fraction form
    11,602.02/16,014.59 = 6,821.73/x
  3. Step 3: Cross multiply
    11,602.02x = 16,014.59 × 6,821.73
  4. Step 4: Simplify right side
    11,602.02x = 109,247,174.93
  5. Step 5: Solve for x
    x = 109,247,174.93/11,602.02
  6. Step 6: Final answer
    x = 9,416.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.