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Finding the Fourth Proportional to 7,102.80, 10,654.20 and 5,790.60

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Solution

The fourth proportional to 7,102.80, 10,654.20 and 5,790.60 is: 8,685.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.80 : 10,654.20 = 5,790.60 : x
  2. Step 2: Convert to fraction form
    7,102.80/10,654.20 = 5,790.60/x
  3. Step 3: Cross multiply
    7,102.80x = 10,654.20 × 5,790.60
  4. Step 4: Simplify right side
    7,102.80x = 61,694,210.52
  5. Step 5: Solve for x
    x = 61,694,210.52/7,102.80
  6. Step 6: Final answer
    x = 8,685.90

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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.