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Finding the Fourth Proportional to 8,382.19, 11,567.71 and 4,797.74

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Solution

The fourth proportional to 8,382.19, 11,567.71 and 4,797.74 is: 6,621.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.19 : 11,567.71 = 4,797.74 : x
  2. Step 2: Convert to fraction form
    8,382.19/11,567.71 = 4,797.74/x
  3. Step 3: Cross multiply
    8,382.19x = 11,567.71 × 4,797.74
  4. Step 4: Simplify right side
    8,382.19x = 55,498,864.98
  5. Step 5: Solve for x
    x = 55,498,864.98/8,382.19
  6. Step 6: Final answer
    x = 6,621.05

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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.