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Finding the Fourth Proportional to 11,390.82, 15,725.79 and 7,409.94

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Solution

The fourth proportional to 11,390.82, 15,725.79 and 7,409.94 is: 10,229.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,390.82 : 15,725.79 = 7,409.94 : x
  2. Step 2: Convert to fraction form
    11,390.82/15,725.79 = 7,409.94/x
  3. Step 3: Cross multiply
    11,390.82x = 15,725.79 × 7,409.94
  4. Step 4: Simplify right side
    11,390.82x = 116,527,160.35
  5. Step 5: Solve for x
    x = 116,527,160.35/11,390.82
  6. Step 6: Final answer
    x = 10,229.92

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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.