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Finding the Fourth Proportional to 6,707.80, 10,053.60 and 3,419.20

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Solution

The fourth proportional to 6,707.80, 10,053.60 and 3,419.20 is: 5,124.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.80 : 10,053.60 = 3,419.20 : x
  2. Step 2: Convert to fraction form
    6,707.80/10,053.60 = 3,419.20/x
  3. Step 3: Cross multiply
    6,707.80x = 10,053.60 × 3,419.20
  4. Step 4: Simplify right side
    6,707.80x = 34,375,269.12
  5. Step 5: Solve for x
    x = 34,375,269.12/6,707.80
  6. Step 6: Final answer
    x = 5,124.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.