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Finding the Fourth Proportional to 11,467.49, 15,824.84 and 6,363

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Solution

The fourth proportional to 11,467.49, 15,824.84 and 6,363 is: 8,780.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,467.49 : 15,824.84 = 6,363 : x
  2. Step 2: Convert to fraction form
    11,467.49/15,824.84 = 6,363/x
  3. Step 3: Cross multiply
    11,467.49x = 15,824.84 × 6,363
  4. Step 4: Simplify right side
    11,467.49x = 100,693,425.11
  5. Step 5: Solve for x
    x = 100,693,425.11/11,467.49
  6. Step 6: Final answer
    x = 8,780.78

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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.