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Finding the Fourth Proportional to 8,252.16, 12,378.96 and 3,057.60

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Solution

The fourth proportional to 8,252.16, 12,378.96 and 3,057.60 is: 4,586.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,252.16 : 12,378.96 = 3,057.60 : x
  2. Step 2: Convert to fraction form
    8,252.16/12,378.96 = 3,057.60/x
  3. Step 3: Cross multiply
    8,252.16x = 12,378.96 × 3,057.60
  4. Step 4: Simplify right side
    8,252.16x = 37,849,908.10
  5. Step 5: Solve for x
    x = 37,849,908.10/8,252.16
  6. Step 6: Final answer
    x = 4,586.67

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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.