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Finding the Fourth Proportional to 11,427.48, 15,770.94 and 6,950.16

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Solution

The fourth proportional to 11,427.48, 15,770.94 and 6,950.16 is: 9,591.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,427.48 : 15,770.94 = 6,950.16 : x
  2. Step 2: Convert to fraction form
    11,427.48/15,770.94 = 6,950.16/x
  3. Step 3: Cross multiply
    11,427.48x = 15,770.94 × 6,950.16
  4. Step 4: Simplify right side
    11,427.48x = 109,610,556.35
  5. Step 5: Solve for x
    x = 109,610,556.35/11,427.48
  6. Step 6: Final answer
    x = 9,591.84

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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.