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Finding the Fourth Proportional to 8,294.29, 11,445.20 and 4,936.63

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Solution

The fourth proportional to 8,294.29, 11,445.20 and 4,936.63 is: 6,812.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.29 : 11,445.20 = 4,936.63 : x
  2. Step 2: Convert to fraction form
    8,294.29/11,445.20 = 4,936.63/x
  3. Step 3: Cross multiply
    8,294.29x = 11,445.20 × 4,936.63
  4. Step 4: Simplify right side
    8,294.29x = 56,500,717.68
  5. Step 5: Solve for x
    x = 56,500,717.68/8,294.29
  6. Step 6: Final answer
    x = 6,812.00

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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.