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Finding the Fourth Proportional to 6,965.81, 10,452.30 and 4,627.43

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Solution

The fourth proportional to 6,965.81, 10,452.30 and 4,627.43 is: 6,943.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.81 : 10,452.30 = 4,627.43 : x
  2. Step 2: Convert to fraction form
    6,965.81/10,452.30 = 4,627.43/x
  3. Step 3: Cross multiply
    6,965.81x = 10,452.30 × 4,627.43
  4. Step 4: Simplify right side
    6,965.81x = 48,367,256.17
  5. Step 5: Solve for x
    x = 48,367,256.17/6,965.81
  6. Step 6: Final answer
    x = 6,943.52

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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.