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Finding the Fourth Proportional to 8,313.96, 12,448.44 and 5,186.46

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Solution

The fourth proportional to 8,313.96, 12,448.44 and 5,186.46 is: 7,765.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.96 : 12,448.44 = 5,186.46 : x
  2. Step 2: Convert to fraction form
    8,313.96/12,448.44 = 5,186.46/x
  3. Step 3: Cross multiply
    8,313.96x = 12,448.44 × 5,186.46
  4. Step 4: Simplify right side
    8,313.96x = 64,563,336.12
  5. Step 5: Solve for x
    x = 64,563,336.12/8,313.96
  6. Step 6: Final answer
    x = 7,765.65

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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.