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Finding the Fourth Proportional to 11,400.74, 17,089.50 and 7,243.82

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Solution

The fourth proportional to 11,400.74, 17,089.50 and 7,243.82 is: 10,858.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,400.74 : 17,089.50 = 7,243.82 : x
  2. Step 2: Convert to fraction form
    11,400.74/17,089.50 = 7,243.82/x
  3. Step 3: Cross multiply
    11,400.74x = 17,089.50 × 7,243.82
  4. Step 4: Simplify right side
    11,400.74x = 123,793,261.89
  5. Step 5: Solve for x
    x = 123,793,261.89/11,400.74
  6. Step 6: Final answer
    x = 10,858.35

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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.