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Finding the Fourth Proportional to 10,204.82, 15,292.63 and 5,813.20

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Solution

The fourth proportional to 10,204.82, 15,292.63 and 5,813.20 is: 8,711.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,204.82 : 15,292.63 = 5,813.20 : x
  2. Step 2: Convert to fraction form
    10,204.82/15,292.63 = 5,813.20/x
  3. Step 3: Cross multiply
    10,204.82x = 15,292.63 × 5,813.20
  4. Step 4: Simplify right side
    10,204.82x = 88,899,110.40
  5. Step 5: Solve for x
    x = 88,899,110.40/10,204.82
  6. Step 6: Final answer
    x = 8,711.48

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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.