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Finding the Fourth Proportional to 8,617.32, 12,941.82 and 5,337

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Solution

The fourth proportional to 8,617.32, 12,941.82 and 5,337 is: 8,015.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,617.32 : 12,941.82 = 5,337 : x
  2. Step 2: Convert to fraction form
    8,617.32/12,941.82 = 5,337/x
  3. Step 3: Cross multiply
    8,617.32x = 12,941.82 × 5,337
  4. Step 4: Simplify right side
    8,617.32x = 69,070,493.34
  5. Step 5: Solve for x
    x = 69,070,493.34/8,617.32
  6. Step 6: Final answer
    x = 8,015.31

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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.