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Finding the Fourth Proportional to 7,767.88, 11,641.39 and 3,813.10

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Solution

The fourth proportional to 7,767.88, 11,641.39 and 3,813.10 is: 5,714.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.88 : 11,641.39 = 3,813.10 : x
  2. Step 2: Convert to fraction form
    7,767.88/11,641.39 = 3,813.10/x
  3. Step 3: Cross multiply
    7,767.88x = 11,641.39 × 3,813.10
  4. Step 4: Simplify right side
    7,767.88x = 44,389,784.21
  5. Step 5: Solve for x
    x = 44,389,784.21/7,767.88
  6. Step 6: Final answer
    x = 5,714.53

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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.