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Finding the Fourth Proportional to 7,634.40, 10,536.24 and 4,650.42

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Solution

The fourth proportional to 7,634.40, 10,536.24 and 4,650.42 is: 6,418.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,634.40 : 10,536.24 = 4,650.42 : x
  2. Step 2: Convert to fraction form
    7,634.40/10,536.24 = 4,650.42/x
  3. Step 3: Cross multiply
    7,634.40x = 10,536.24 × 4,650.42
  4. Step 4: Simplify right side
    7,634.40x = 48,997,941.22
  5. Step 5: Solve for x
    x = 48,997,941.22/7,634.40
  6. Step 6: Final answer
    x = 6,418.05

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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.