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Finding the Fourth Proportional to 7,761.68, 11,643.96 and 2,830.64

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Solution

The fourth proportional to 7,761.68, 11,643.96 and 2,830.64 is: 4,246.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.68 : 11,643.96 = 2,830.64 : x
  2. Step 2: Convert to fraction form
    7,761.68/11,643.96 = 2,830.64/x
  3. Step 3: Cross multiply
    7,761.68x = 11,643.96 × 2,830.64
  4. Step 4: Simplify right side
    7,761.68x = 32,959,858.93
  5. Step 5: Solve for x
    x = 32,959,858.93/7,761.68
  6. Step 6: Final answer
    x = 4,246.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.