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Finding the Fourth Proportional to 12,582.57, 17,356.78 and 7,800.33

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Solution

The fourth proportional to 12,582.57, 17,356.78 and 7,800.33 is: 10,760.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,582.57 : 17,356.78 = 7,800.33 : x
  2. Step 2: Convert to fraction form
    12,582.57/17,356.78 = 7,800.33/x
  3. Step 3: Cross multiply
    12,582.57x = 17,356.78 × 7,800.33
  4. Step 4: Simplify right side
    12,582.57x = 135,388,611.74
  5. Step 5: Solve for x
    x = 135,388,611.74/12,582.57
  6. Step 6: Final answer
    x = 10,760.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.