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Finding the Fourth Proportional to 8,496.70, 12,742.82 and 3,814.09

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Solution

The fourth proportional to 8,496.70, 12,742.82 and 3,814.09 is: 5,720.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,496.70 : 12,742.82 = 3,814.09 : x
  2. Step 2: Convert to fraction form
    8,496.70/12,742.82 = 3,814.09/x
  3. Step 3: Cross multiply
    8,496.70x = 12,742.82 × 3,814.09
  4. Step 4: Simplify right side
    8,496.70x = 48,602,225.71
  5. Step 5: Solve for x
    x = 48,602,225.71/8,496.70
  6. Step 6: Final answer
    x = 5,720.13

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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.