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Finding the Fourth Proportional to 8,112.65, 11,195.48 and 4,968.77

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Solution

The fourth proportional to 8,112.65, 11,195.48 and 4,968.77 is: 6,856.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112.65 : 11,195.48 = 4,968.77 : x
  2. Step 2: Convert to fraction form
    8,112.65/11,195.48 = 4,968.77/x
  3. Step 3: Cross multiply
    8,112.65x = 11,195.48 × 4,968.77
  4. Step 4: Simplify right side
    8,112.65x = 55,627,721.60
  5. Step 5: Solve for x
    x = 55,627,721.60/8,112.65
  6. Step 6: Final answer
    x = 6,856.92

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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.