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Finding the Fourth Proportional to 11,000.76, 15,179.84 and 6,284.14

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Solution

The fourth proportional to 11,000.76, 15,179.84 and 6,284.14 is: 8,671.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,000.76 : 15,179.84 = 6,284.14 : x
  2. Step 2: Convert to fraction form
    11,000.76/15,179.84 = 6,284.14/x
  3. Step 3: Cross multiply
    11,000.76x = 15,179.84 × 6,284.14
  4. Step 4: Simplify right side
    11,000.76x = 95,392,239.74
  5. Step 5: Solve for x
    x = 95,392,239.74/11,000.76
  6. Step 6: Final answer
    x = 8,671.42

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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.