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Finding the Fourth Proportional to 8,296.16, 11,445.88 and 5,313.80

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Solution

The fourth proportional to 8,296.16, 11,445.88 and 5,313.80 is: 7,331.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.16 : 11,445.88 = 5,313.80 : x
  2. Step 2: Convert to fraction form
    8,296.16/11,445.88 = 5,313.80/x
  3. Step 3: Cross multiply
    8,296.16x = 11,445.88 × 5,313.80
  4. Step 4: Simplify right side
    8,296.16x = 60,821,046.63
  5. Step 5: Solve for x
    x = 60,821,046.63/8,296.16
  6. Step 6: Final answer
    x = 7,331.23

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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.