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Finding the Fourth Proportional to 7,813.81, 10,781.03 and 4,627.17

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Solution

The fourth proportional to 7,813.81, 10,781.03 and 4,627.17 is: 6,384.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.81 : 10,781.03 = 4,627.17 : x
  2. Step 2: Convert to fraction form
    7,813.81/10,781.03 = 4,627.17/x
  3. Step 3: Cross multiply
    7,813.81x = 10,781.03 × 4,627.17
  4. Step 4: Simplify right side
    7,813.81x = 49,885,604.68
  5. Step 5: Solve for x
    x = 49,885,604.68/7,813.81
  6. Step 6: Final answer
    x = 6,384.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.