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Finding the Fourth Proportional to 7,774.66, 10,734.56 and 4,791.43

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Solution

The fourth proportional to 7,774.66, 10,734.56 and 4,791.43 is: 6,615.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.66 : 10,734.56 = 4,791.43 : x
  2. Step 2: Convert to fraction form
    7,774.66/10,734.56 = 4,791.43/x
  3. Step 3: Cross multiply
    7,774.66x = 10,734.56 × 4,791.43
  4. Step 4: Simplify right side
    7,774.66x = 51,433,892.82
  5. Step 5: Solve for x
    x = 51,433,892.82/7,774.66
  6. Step 6: Final answer
    x = 6,615.58

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Why These Related Problems?

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