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Finding the Fourth Proportional to 11,401.70, 17,090.92 and 6,460.90

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Solution

The fourth proportional to 11,401.70, 17,090.92 and 6,460.90 is: 9,684.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,401.70 : 17,090.92 = 6,460.90 : x
  2. Step 2: Convert to fraction form
    11,401.70/17,090.92 = 6,460.90/x
  3. Step 3: Cross multiply
    11,401.70x = 17,090.92 × 6,460.90
  4. Step 4: Simplify right side
    11,401.70x = 110,422,725.03
  5. Step 5: Solve for x
    x = 110,422,725.03/11,401.70
  6. Step 6: Final answer
    x = 9,684.76

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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.