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Finding the Fourth Proportional to 8,182.80, 11,292.70 and 4,827.57

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Solution

The fourth proportional to 8,182.80, 11,292.70 and 4,827.57 is: 6,662.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.80 : 11,292.70 = 4,827.57 : x
  2. Step 2: Convert to fraction form
    8,182.80/11,292.70 = 4,827.57/x
  3. Step 3: Cross multiply
    8,182.80x = 11,292.70 × 4,827.57
  4. Step 4: Simplify right side
    8,182.80x = 54,516,299.74
  5. Step 5: Solve for x
    x = 54,516,299.74/8,182.80
  6. Step 6: Final answer
    x = 6,662.30

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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.