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Finding the Fourth Proportional to 8,313.16, 11,468.82 and 5,830.60

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Solution

The fourth proportional to 8,313.16, 11,468.82 and 5,830.60 is: 8,043.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.16 : 11,468.82 = 5,830.60 : x
  2. Step 2: Convert to fraction form
    8,313.16/11,468.82 = 5,830.60/x
  3. Step 3: Cross multiply
    8,313.16x = 11,468.82 × 5,830.60
  4. Step 4: Simplify right side
    8,313.16x = 66,870,101.89
  5. Step 5: Solve for x
    x = 66,870,101.89/8,313.16
  6. Step 6: Final answer
    x = 8,043.88

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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.