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Finding the Fourth Proportional to 8,074.66, 11,134.02 and 5,238.28

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Solution

The fourth proportional to 8,074.66, 11,134.02 and 5,238.28 is: 7,222.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,074.66 : 11,134.02 = 5,238.28 : x
  2. Step 2: Convert to fraction form
    8,074.66/11,134.02 = 5,238.28/x
  3. Step 3: Cross multiply
    8,074.66x = 11,134.02 × 5,238.28
  4. Step 4: Simplify right side
    8,074.66x = 58,323,114.29
  5. Step 5: Solve for x
    x = 58,323,114.29/8,074.66
  6. Step 6: Final answer
    x = 7,222.98

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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.