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Finding the Fourth Proportional to 11,138.34, 15,370.25 and 6,101.67

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Solution

The fourth proportional to 11,138.34, 15,370.25 and 6,101.67 is: 8,419.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,138.34 : 15,370.25 = 6,101.67 : x
  2. Step 2: Convert to fraction form
    11,138.34/15,370.25 = 6,101.67/x
  3. Step 3: Cross multiply
    11,138.34x = 15,370.25 × 6,101.67
  4. Step 4: Simplify right side
    11,138.34x = 93,784,162.81
  5. Step 5: Solve for x
    x = 93,784,162.81/11,138.34
  6. Step 6: Final answer
    x = 8,419.94

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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.