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Finding the Fourth Proportional to 8,112.42, 11,189.76 and 5,594.61

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Solution

The fourth proportional to 8,112.42, 11,189.76 and 5,594.61 is: 7,716.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112.42 : 11,189.76 = 5,594.61 : x
  2. Step 2: Convert to fraction form
    8,112.42/11,189.76 = 5,594.61/x
  3. Step 3: Cross multiply
    8,112.42x = 11,189.76 × 5,594.61
  4. Step 4: Simplify right side
    8,112.42x = 62,602,343.19
  5. Step 5: Solve for x
    x = 62,602,343.19/8,112.42
  6. Step 6: Final answer
    x = 7,716.85

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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.