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Finding the Fourth Proportional to 8,323.04, 11,485.68 and 4,546.16

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Solution

The fourth proportional to 8,323.04, 11,485.68 and 4,546.16 is: 6,273.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323.04 : 11,485.68 = 4,546.16 : x
  2. Step 2: Convert to fraction form
    8,323.04/11,485.68 = 4,546.16/x
  3. Step 3: Cross multiply
    8,323.04x = 11,485.68 × 4,546.16
  4. Step 4: Simplify right side
    8,323.04x = 52,215,738.99
  5. Step 5: Solve for x
    x = 52,215,738.99/8,323.04
  6. Step 6: Final answer
    x = 6,273.64

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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.