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Finding the Fourth Proportional to 11,531.62, 15,907.42 and 7,709.84

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Solution

The fourth proportional to 11,531.62, 15,907.42 and 7,709.84 is: 10,635.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,531.62 : 15,907.42 = 7,709.84 : x
  2. Step 2: Convert to fraction form
    11,531.62/15,907.42 = 7,709.84/x
  3. Step 3: Cross multiply
    11,531.62x = 15,907.42 × 7,709.84
  4. Step 4: Simplify right side
    11,531.62x = 122,643,663.01
  5. Step 5: Solve for x
    x = 122,643,663.01/11,531.62
  6. Step 6: Final answer
    x = 10,635.42

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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.