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Finding the Fourth Proportional to 6,105.60, 8,429.16 and 4,013.34

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Solution

The fourth proportional to 6,105.60, 8,429.16 and 4,013.34 is: 5,540.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.60 : 8,429.16 = 4,013.34 : x
  2. Step 2: Convert to fraction form
    6,105.60/8,429.16 = 4,013.34/x
  3. Step 3: Cross multiply
    6,105.60x = 8,429.16 × 4,013.34
  4. Step 4: Simplify right side
    6,105.60x = 33,829,084.99
  5. Step 5: Solve for x
    x = 33,829,084.99/6,105.60
  6. Step 6: Final answer
    x = 5,540.67

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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.