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Finding the Fourth Proportional to 11,414.78, 15,752.04 and 6,698.96

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Solution

The fourth proportional to 11,414.78, 15,752.04 and 6,698.96 is: 9,244.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,414.78 : 15,752.04 = 6,698.96 : x
  2. Step 2: Convert to fraction form
    11,414.78/15,752.04 = 6,698.96/x
  3. Step 3: Cross multiply
    11,414.78x = 15,752.04 × 6,698.96
  4. Step 4: Simplify right side
    11,414.78x = 105,522,285.88
  5. Step 5: Solve for x
    x = 105,522,285.88/11,414.78
  6. Step 6: Final answer
    x = 9,244.36

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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.