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Finding the Fourth Proportional to 6,177.32, 8,524.71 and 3,344.69

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Solution

The fourth proportional to 6,177.32, 8,524.71 and 3,344.69 is: 4,615.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.32 : 8,524.71 = 3,344.69 : x
  2. Step 2: Convert to fraction form
    6,177.32/8,524.71 = 3,344.69/x
  3. Step 3: Cross multiply
    6,177.32x = 8,524.71 × 3,344.69
  4. Step 4: Simplify right side
    6,177.32x = 28,512,521.06
  5. Step 5: Solve for x
    x = 28,512,521.06/6,177.32
  6. Step 6: Final answer
    x = 4,615.68

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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.