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Finding the Fourth Proportional to 7,704.80, 11,557.20 and 4,594.40

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Solution

The fourth proportional to 7,704.80, 11,557.20 and 4,594.40 is: 6,891.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.80 : 11,557.20 = 4,594.40 : x
  2. Step 2: Convert to fraction form
    7,704.80/11,557.20 = 4,594.40/x
  3. Step 3: Cross multiply
    7,704.80x = 11,557.20 × 4,594.40
  4. Step 4: Simplify right side
    7,704.80x = 53,098,399.68
  5. Step 5: Solve for x
    x = 53,098,399.68/7,704.80
  6. Step 6: Final answer
    x = 6,891.60

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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.