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Finding the Fourth Proportional to 8,106.01, 11,185.52 and 5,120.75

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Solution

The fourth proportional to 8,106.01, 11,185.52 and 5,120.75 is: 7,066.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106.01 : 11,185.52 = 5,120.75 : x
  2. Step 2: Convert to fraction form
    8,106.01/11,185.52 = 5,120.75/x
  3. Step 3: Cross multiply
    8,106.01x = 11,185.52 × 5,120.75
  4. Step 4: Simplify right side
    8,106.01x = 57,278,253.90
  5. Step 5: Solve for x
    x = 57,278,253.90/8,106.01
  6. Step 6: Final answer
    x = 7,066.15

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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.