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Finding the Fourth Proportional to 11,849.96, 16,344.24 and 7,602.32

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Solution

The fourth proportional to 11,849.96, 16,344.24 and 7,602.32 is: 10,485.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,849.96 : 16,344.24 = 7,602.32 : x
  2. Step 2: Convert to fraction form
    11,849.96/16,344.24 = 7,602.32/x
  3. Step 3: Cross multiply
    11,849.96x = 16,344.24 × 7,602.32
  4. Step 4: Simplify right side
    11,849.96x = 124,254,142.64
  5. Step 5: Solve for x
    x = 124,254,142.64/11,849.96
  6. Step 6: Final answer
    x = 10,485.62

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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.