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Finding the Fourth Proportional to 11,400.70, 17,089.43 and 6,459.90

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Solution

The fourth proportional to 11,400.70, 17,089.43 and 6,459.90 is: 9,683.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,400.70 : 17,089.43 = 6,459.90 : x
  2. Step 2: Convert to fraction form
    11,400.70/17,089.43 = 6,459.90/x
  3. Step 3: Cross multiply
    11,400.70x = 17,089.43 × 6,459.90
  4. Step 4: Simplify right side
    11,400.70x = 110,395,976.56
  5. Step 5: Solve for x
    x = 110,395,976.56/11,400.70
  6. Step 6: Final answer
    x = 9,683.27

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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.