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Finding the Fourth Proportional to 11,430.42, 17,129.22 and 6,489.62

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Solution

The fourth proportional to 11,430.42, 17,129.22 and 6,489.62 is: 9,725.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430.42 : 17,129.22 = 6,489.62 : x
  2. Step 2: Convert to fraction form
    11,430.42/17,129.22 = 6,489.62/x
  3. Step 3: Cross multiply
    11,430.42x = 17,129.22 × 6,489.62
  4. Step 4: Simplify right side
    11,430.42x = 111,162,119.45
  5. Step 5: Solve for x
    x = 111,162,119.45/11,430.42
  6. Step 6: Final answer
    x = 9,725.12

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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.