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Finding the Fourth Proportional to 8,496.57, 12,742.63 and 3,813.96

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Solution

The fourth proportional to 8,496.57, 12,742.63 and 3,813.96 is: 5,719.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,496.57 : 12,742.63 = 3,813.96 : x
  2. Step 2: Convert to fraction form
    8,496.57/12,742.63 = 3,813.96/x
  3. Step 3: Cross multiply
    8,496.57x = 12,742.63 × 3,813.96
  4. Step 4: Simplify right side
    8,496.57x = 48,599,881.11
  5. Step 5: Solve for x
    x = 48,599,881.11/8,496.57
  6. Step 6: Final answer
    x = 5,719.94

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Why These Related Problems?

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