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Finding the Fourth Proportional to 11,623.26, 17,407.14 and 6,350.40

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Solution

The fourth proportional to 11,623.26, 17,407.14 and 6,350.40 is: 9,510.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,623.26 : 17,407.14 = 6,350.40 : x
  2. Step 2: Convert to fraction form
    11,623.26/17,407.14 = 6,350.40/x
  3. Step 3: Cross multiply
    11,623.26x = 17,407.14 × 6,350.40
  4. Step 4: Simplify right side
    11,623.26x = 110,542,278.04
  5. Step 5: Solve for x
    x = 110,542,278.04/11,623.26
  6. Step 6: Final answer
    x = 9,510.43

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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.