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Finding the Fourth Proportional to 8,996.16, 12,416.31 and 5,813.40

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Solution

The fourth proportional to 8,996.16, 12,416.31 and 5,813.40 is: 8,023.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,996.16 : 12,416.31 = 5,813.40 : x
  2. Step 2: Convert to fraction form
    8,996.16/12,416.31 = 5,813.40/x
  3. Step 3: Cross multiply
    8,996.16x = 12,416.31 × 5,813.40
  4. Step 4: Simplify right side
    8,996.16x = 72,180,976.55
  5. Step 5: Solve for x
    x = 72,180,976.55/8,996.16
  6. Step 6: Final answer
    x = 8,023.53

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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.