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Finding the Fourth Proportional to 8,502.81, 12,758.06 and 4,340.67

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Solution

The fourth proportional to 8,502.81, 12,758.06 and 4,340.67 is: 6,512.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.81 : 12,758.06 = 4,340.67 : x
  2. Step 2: Convert to fraction form
    8,502.81/12,758.06 = 4,340.67/x
  3. Step 3: Cross multiply
    8,502.81x = 12,758.06 × 4,340.67
  4. Step 4: Simplify right side
    8,502.81x = 55,378,528.30
  5. Step 5: Solve for x
    x = 55,378,528.30/8,502.81
  6. Step 6: Final answer
    x = 6,512.97

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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.