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Finding the Fourth Proportional to 11,531.36, 15,907.39 and 7,754.94

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Solution

The fourth proportional to 11,531.36, 15,907.39 and 7,754.94 is: 10,697.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,531.36 : 15,907.39 = 7,754.94 : x
  2. Step 2: Convert to fraction form
    11,531.36/15,907.39 = 7,754.94/x
  3. Step 3: Cross multiply
    11,531.36x = 15,907.39 × 7,754.94
  4. Step 4: Simplify right side
    11,531.36x = 123,360,835.62
  5. Step 5: Solve for x
    x = 123,360,835.62/11,531.36
  6. Step 6: Final answer
    x = 10,697.85

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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.