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Finding the Fourth Proportional to 11,503.14, 17,279.28 and 8,237.22

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Solution

The fourth proportional to 11,503.14, 17,279.28 and 8,237.22 is: 12,373.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,503.14 : 17,279.28 = 8,237.22 : x
  2. Step 2: Convert to fraction form
    11,503.14/17,279.28 = 8,237.22/x
  3. Step 3: Cross multiply
    11,503.14x = 17,279.28 × 8,237.22
  4. Step 4: Simplify right side
    11,503.14x = 142,333,230.80
  5. Step 5: Solve for x
    x = 142,333,230.80/11,503.14
  6. Step 6: Final answer
    x = 12,373.42

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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.