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Finding the Fourth Proportional to 11,377.45, 15,698.98 and 6,340.57

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Solution

The fourth proportional to 11,377.45, 15,698.98 and 6,340.57 is: 8,748.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,377.45 : 15,698.98 = 6,340.57 : x
  2. Step 2: Convert to fraction form
    11,377.45/15,698.98 = 6,340.57/x
  3. Step 3: Cross multiply
    11,377.45x = 15,698.98 × 6,340.57
  4. Step 4: Simplify right side
    11,377.45x = 99,540,481.62
  5. Step 5: Solve for x
    x = 99,540,481.62/11,377.45
  6. Step 6: Final answer
    x = 8,748.93

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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.