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Finding the Fourth Proportional to 8,182.01, 11,292.63 and 4,824.62

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Solution

The fourth proportional to 8,182.01, 11,292.63 and 4,824.62 is: 6,658.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.01 : 11,292.63 = 4,824.62 : x
  2. Step 2: Convert to fraction form
    8,182.01/11,292.63 = 4,824.62/x
  3. Step 3: Cross multiply
    8,182.01x = 11,292.63 × 4,824.62
  4. Step 4: Simplify right side
    8,182.01x = 54,482,658.69
  5. Step 5: Solve for x
    x = 54,482,658.69/8,182.01
  6. Step 6: Final answer
    x = 6,658.84

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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.