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Finding the Fourth Proportional to 8,178.77, 11,287.28 and 4,642.21

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Solution

The fourth proportional to 8,178.77, 11,287.28 and 4,642.21 is: 6,406.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.77 : 11,287.28 = 4,642.21 : x
  2. Step 2: Convert to fraction form
    8,178.77/11,287.28 = 4,642.21/x
  3. Step 3: Cross multiply
    8,178.77x = 11,287.28 × 4,642.21
  4. Step 4: Simplify right side
    8,178.77x = 52,397,867.65
  5. Step 5: Solve for x
    x = 52,397,867.65/8,178.77
  6. Step 6: Final answer
    x = 6,406.57

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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.