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Finding the Fourth Proportional to 8,066.64, 11,126.28 and 7,405.68

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Solution

The fourth proportional to 8,066.64, 11,126.28 and 7,405.68 is: 10,214.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,066.64 : 11,126.28 = 7,405.68 : x
  2. Step 2: Convert to fraction form
    8,066.64/11,126.28 = 7,405.68/x
  3. Step 3: Cross multiply
    8,066.64x = 11,126.28 × 7,405.68
  4. Step 4: Simplify right side
    8,066.64x = 82,397,669.27
  5. Step 5: Solve for x
    x = 82,397,669.27/8,066.64
  6. Step 6: Final answer
    x = 10,214.62

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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.