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Finding the Fourth Proportional to 6,783.72, 10,175.72 and 4,458.55

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Solution

The fourth proportional to 6,783.72, 10,175.72 and 4,458.55 is: 6,687.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.72 : 10,175.72 = 4,458.55 : x
  2. Step 2: Convert to fraction form
    6,783.72/10,175.72 = 4,458.55/x
  3. Step 3: Cross multiply
    6,783.72x = 10,175.72 × 4,458.55
  4. Step 4: Simplify right side
    6,783.72x = 45,368,956.41
  5. Step 5: Solve for x
    x = 45,368,956.41/6,783.72
  6. Step 6: Final answer
    x = 6,687.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.