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Finding the Fourth Proportional to 6,783.80, 10,175.70 and 4,458.60

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Solution

The fourth proportional to 6,783.80, 10,175.70 and 4,458.60 is: 6,687.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.80 : 10,175.70 = 4,458.60 : x
  2. Step 2: Convert to fraction form
    6,783.80/10,175.70 = 4,458.60/x
  3. Step 3: Cross multiply
    6,783.80x = 10,175.70 × 4,458.60
  4. Step 4: Simplify right side
    6,783.80x = 45,369,376.02
  5. Step 5: Solve for x
    x = 45,369,376.02/6,783.80
  6. Step 6: Final answer
    x = 6,687.90

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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.