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Finding the Fourth Proportional to 8,496.70, 12,730.66 and 5,202.91

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Solution

The fourth proportional to 8,496.70, 12,730.66 and 5,202.91 is: 7,795.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,496.70 : 12,730.66 = 5,202.91 : x
  2. Step 2: Convert to fraction form
    8,496.70/12,730.66 = 5,202.91/x
  3. Step 3: Cross multiply
    8,496.70x = 12,730.66 × 5,202.91
  4. Step 4: Simplify right side
    8,496.70x = 66,236,478.22
  5. Step 5: Solve for x
    x = 66,236,478.22/8,496.70
  6. Step 6: Final answer
    x = 7,795.55

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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.