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Finding the Fourth Proportional to 11,756.40, 17,634.60 and 7,159.92

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Solution

The fourth proportional to 11,756.40, 17,634.60 and 7,159.92 is: 10,739.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.40 : 17,634.60 = 7,159.92 : x
  2. Step 2: Convert to fraction form
    11,756.40/17,634.60 = 7,159.92/x
  3. Step 3: Cross multiply
    11,756.40x = 17,634.60 × 7,159.92
  4. Step 4: Simplify right side
    11,756.40x = 126,262,325.23
  5. Step 5: Solve for x
    x = 126,262,325.23/11,756.40
  6. Step 6: Final answer
    x = 10,739.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.