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Finding the Fourth Proportional to 8,142.90, 11,236.59 and 5,493.90

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Solution

The fourth proportional to 8,142.90, 11,236.59 and 5,493.90 is: 7,581.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.90 : 11,236.59 = 5,493.90 : x
  2. Step 2: Convert to fraction form
    8,142.90/11,236.59 = 5,493.90/x
  3. Step 3: Cross multiply
    8,142.90x = 11,236.59 × 5,493.90
  4. Step 4: Simplify right side
    8,142.90x = 61,732,701.80
  5. Step 5: Solve for x
    x = 61,732,701.80/8,142.90
  6. Step 6: Final answer
    x = 7,581.17

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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.