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Finding the Fourth Proportional to 8,134.22, 11,229.64 and 7,293.14

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Solution

The fourth proportional to 8,134.22, 11,229.64 and 7,293.14 is: 10,068.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.22 : 11,229.64 = 7,293.14 : x
  2. Step 2: Convert to fraction form
    8,134.22/11,229.64 = 7,293.14/x
  3. Step 3: Cross multiply
    8,134.22x = 11,229.64 × 7,293.14
  4. Step 4: Simplify right side
    8,134.22x = 81,899,304.40
  5. Step 5: Solve for x
    x = 81,899,304.40/8,134.22
  6. Step 6: Final answer
    x = 10,068.49

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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.