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Finding the Fourth Proportional to 11,405.34, 15,738.87 and 6,370.14

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Solution

The fourth proportional to 11,405.34, 15,738.87 and 6,370.14 is: 8,790.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,405.34 : 15,738.87 = 6,370.14 : x
  2. Step 2: Convert to fraction form
    11,405.34/15,738.87 = 6,370.14/x
  3. Step 3: Cross multiply
    11,405.34x = 15,738.87 × 6,370.14
  4. Step 4: Simplify right side
    11,405.34x = 100,258,805.34
  5. Step 5: Solve for x
    x = 100,258,805.34/11,405.34
  6. Step 6: Final answer
    x = 8,790.51

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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.