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Finding the Fourth Proportional to 11,602.64, 17,405.94 and 4,104.12

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Solution

The fourth proportional to 11,602.64, 17,405.94 and 4,104.12 is: 6,156.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.64 : 17,405.94 = 4,104.12 : x
  2. Step 2: Convert to fraction form
    11,602.64/17,405.94 = 4,104.12/x
  3. Step 3: Cross multiply
    11,602.64x = 17,405.94 × 4,104.12
  4. Step 4: Simplify right side
    11,602.64x = 71,436,026.14
  5. Step 5: Solve for x
    x = 71,436,026.14/11,602.64
  6. Step 6: Final answer
    x = 6,156.88

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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.