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Finding the Fourth Proportional to 11,375.66, 15,699.68 and 6,340.34

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Solution

The fourth proportional to 11,375.66, 15,699.68 and 6,340.34 is: 8,750.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,375.66 : 15,699.68 = 6,340.34 : x
  2. Step 2: Convert to fraction form
    11,375.66/15,699.68 = 6,340.34/x
  3. Step 3: Cross multiply
    11,375.66x = 15,699.68 × 6,340.34
  4. Step 4: Simplify right side
    11,375.66x = 99,541,198.89
  5. Step 5: Solve for x
    x = 99,541,198.89/11,375.66
  6. Step 6: Final answer
    x = 8,750.37

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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.