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Finding the Fourth Proportional to 11,072.25, 15,279.71 and 6,104.25

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Solution

The fourth proportional to 11,072.25, 15,279.71 and 6,104.25 is: 8,423.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,072.25 : 15,279.71 = 6,104.25 : x
  2. Step 2: Convert to fraction form
    11,072.25/15,279.71 = 6,104.25/x
  3. Step 3: Cross multiply
    11,072.25x = 15,279.71 × 6,104.25
  4. Step 4: Simplify right side
    11,072.25x = 93,271,139.25
  5. Step 5: Solve for x
    x = 93,271,139.25/11,072.25
  6. Step 6: Final answer
    x = 8,423.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.