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Finding the Fourth Proportional to 8,180.40, 11,288.94 and 4,642.92

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Solution

The fourth proportional to 8,180.40, 11,288.94 and 4,642.92 is: 6,407.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,180.40 : 11,288.94 = 4,642.92 : x
  2. Step 2: Convert to fraction form
    8,180.40/11,288.94 = 4,642.92/x
  3. Step 3: Cross multiply
    8,180.40x = 11,288.94 × 4,642.92
  4. Step 4: Simplify right side
    8,180.40x = 52,413,645.30
  5. Step 5: Solve for x
    x = 52,413,645.30/8,180.40
  6. Step 6: Final answer
    x = 6,407.22

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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.