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Finding the Fourth Proportional to 11,662.04, 16,090.42 and 7,405.52

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Solution

The fourth proportional to 11,662.04, 16,090.42 and 7,405.52 is: 10,217.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,662.04 : 16,090.42 = 7,405.52 : x
  2. Step 2: Convert to fraction form
    11,662.04/16,090.42 = 7,405.52/x
  3. Step 3: Cross multiply
    11,662.04x = 16,090.42 × 7,405.52
  4. Step 4: Simplify right side
    11,662.04x = 119,157,927.12
  5. Step 5: Solve for x
    x = 119,157,927.12/11,662.04
  6. Step 6: Final answer
    x = 10,217.59

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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.