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Finding the Fourth Proportional to 6,745.60, 10,116.78 and 3,457

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Solution

The fourth proportional to 6,745.60, 10,116.78 and 3,457 is: 5,184.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.60 : 10,116.78 = 3,457 : x
  2. Step 2: Convert to fraction form
    6,745.60/10,116.78 = 3,457/x
  3. Step 3: Cross multiply
    6,745.60x = 10,116.78 × 3,457
  4. Step 4: Simplify right side
    6,745.60x = 34,973,708.46
  5. Step 5: Solve for x
    x = 34,973,708.46/6,745.60
  6. Step 6: Final answer
    x = 5,184.67

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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.