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Finding the Fourth Proportional to 11,499.94, 17,271.78 and 7,147.82

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Solution

The fourth proportional to 11,499.94, 17,271.78 and 7,147.82 is: 10,735.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,499.94 : 17,271.78 = 7,147.82 : x
  2. Step 2: Convert to fraction form
    11,499.94/17,271.78 = 7,147.82/x
  3. Step 3: Cross multiply
    11,499.94x = 17,271.78 × 7,147.82
  4. Step 4: Simplify right side
    11,499.94x = 123,455,574.52
  5. Step 5: Solve for x
    x = 123,455,574.52/11,499.94
  6. Step 6: Final answer
    x = 10,735.32

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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.