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Finding the Fourth Proportional to 8,112.51, 11,195.64 and 4,575.65

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Solution

The fourth proportional to 8,112.51, 11,195.64 and 4,575.65 is: 6,314.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112.51 : 11,195.64 = 4,575.65 : x
  2. Step 2: Convert to fraction form
    8,112.51/11,195.64 = 4,575.65/x
  3. Step 3: Cross multiply
    8,112.51x = 11,195.64 × 4,575.65
  4. Step 4: Simplify right side
    8,112.51x = 51,227,274.19
  5. Step 5: Solve for x
    x = 51,227,274.19/8,112.51
  6. Step 6: Final answer
    x = 6,314.60

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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.