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Finding the Fourth Proportional to 7,662.40, 11,498.73 and 3,280.93

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Solution

The fourth proportional to 7,662.40, 11,498.73 and 3,280.93 is: 4,923.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.40 : 11,498.73 = 3,280.93 : x
  2. Step 2: Convert to fraction form
    7,662.40/11,498.73 = 3,280.93/x
  3. Step 3: Cross multiply
    7,662.40x = 11,498.73 × 3,280.93
  4. Step 4: Simplify right side
    7,662.40x = 37,726,528.22
  5. Step 5: Solve for x
    x = 37,726,528.22/7,662.40
  6. Step 6: Final answer
    x = 4,923.59

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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.