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Finding the Fourth Proportional to 11,375.48, 15,698.46 and 6,340.28

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Solution

The fourth proportional to 11,375.48, 15,698.46 and 6,340.28 is: 8,749.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,375.48 : 15,698.46 = 6,340.28 : x
  2. Step 2: Convert to fraction form
    11,375.48/15,698.46 = 6,340.28/x
  3. Step 3: Cross multiply
    11,375.48x = 15,698.46 × 6,340.28
  4. Step 4: Simplify right side
    11,375.48x = 99,532,631.97
  5. Step 5: Solve for x
    x = 99,532,631.97/11,375.48
  6. Step 6: Final answer
    x = 8,749.75

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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.