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Finding the Fourth Proportional to 12,907.29, 17,811.78 and 7,241.94

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Solution

The fourth proportional to 12,907.29, 17,811.78 and 7,241.94 is: 9,993.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,907.29 : 17,811.78 = 7,241.94 : x
  2. Step 2: Convert to fraction form
    12,907.29/17,811.78 = 7,241.94/x
  3. Step 3: Cross multiply
    12,907.29x = 17,811.78 × 7,241.94
  4. Step 4: Simplify right side
    12,907.29x = 128,991,842.05
  5. Step 5: Solve for x
    x = 128,991,842.05/12,907.29
  6. Step 6: Final answer
    x = 9,993.72

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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.