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Finding the Fourth Proportional to 11,423.56, 17,116.38 and 7,256.20

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Solution

The fourth proportional to 11,423.56, 17,116.38 and 7,256.20 is: 10,872.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,423.56 : 17,116.38 = 7,256.20 : x
  2. Step 2: Convert to fraction form
    11,423.56/17,116.38 = 7,256.20/x
  3. Step 3: Cross multiply
    11,423.56x = 17,116.38 × 7,256.20
  4. Step 4: Simplify right side
    11,423.56x = 124,199,876.56
  5. Step 5: Solve for x
    x = 124,199,876.56/11,423.56
  6. Step 6: Final answer
    x = 10,872.26

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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.