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Finding the Fourth Proportional to 7,755.19, 11,632.71 and 1,911.80

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Solution

The fourth proportional to 7,755.19, 11,632.71 and 1,911.80 is: 2,867.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,755.19 : 11,632.71 = 1,911.80 : x
  2. Step 2: Convert to fraction form
    7,755.19/11,632.71 = 1,911.80/x
  3. Step 3: Cross multiply
    7,755.19x = 11,632.71 × 1,911.80
  4. Step 4: Simplify right side
    7,755.19x = 22,239,451.23
  5. Step 5: Solve for x
    x = 22,239,451.23/7,755.19
  6. Step 6: Final answer
    x = 2,867.69

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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.