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Finding the Fourth Proportional to 6,177.24, 8,524.71 and 3,382.74

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Solution

The fourth proportional to 6,177.24, 8,524.71 and 3,382.74 is: 4,668.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.24 : 8,524.71 = 3,382.74 : x
  2. Step 2: Convert to fraction form
    6,177.24/8,524.71 = 3,382.74/x
  3. Step 3: Cross multiply
    6,177.24x = 8,524.71 × 3,382.74
  4. Step 4: Simplify right side
    6,177.24x = 28,836,877.51
  5. Step 5: Solve for x
    x = 28,836,877.51/6,177.24
  6. Step 6: Final answer
    x = 4,668.25

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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.