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Finding the Fourth Proportional to 11,538.76, 17,309.34 and 5,297.70

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Solution

The fourth proportional to 11,538.76, 17,309.34 and 5,297.70 is: 7,947.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538.76 : 17,309.34 = 5,297.70 : x
  2. Step 2: Convert to fraction form
    11,538.76/17,309.34 = 5,297.70/x
  3. Step 3: Cross multiply
    11,538.76x = 17,309.34 × 5,297.70
  4. Step 4: Simplify right side
    11,538.76x = 91,699,690.52
  5. Step 5: Solve for x
    x = 91,699,690.52/11,538.76
  6. Step 6: Final answer
    x = 7,947.10

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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.