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Finding the Fourth Proportional to 8,179.56, 11,287.86 and 5,035.14

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Solution

The fourth proportional to 8,179.56, 11,287.86 and 5,035.14 is: 6,948.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,179.56 : 11,287.86 = 5,035.14 : x
  2. Step 2: Convert to fraction form
    8,179.56/11,287.86 = 5,035.14/x
  3. Step 3: Cross multiply
    8,179.56x = 11,287.86 × 5,035.14
  4. Step 4: Simplify right side
    8,179.56x = 56,835,955.40
  5. Step 5: Solve for x
    x = 56,835,955.40/8,179.56
  6. Step 6: Final answer
    x = 6,948.53

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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.