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Finding the Fourth Proportional to 8,338.44, 11,507.46 and 4,802.16

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Solution

The fourth proportional to 8,338.44, 11,507.46 and 4,802.16 is: 6,627.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,338.44 : 11,507.46 = 4,802.16 : x
  2. Step 2: Convert to fraction form
    8,338.44/11,507.46 = 4,802.16/x
  3. Step 3: Cross multiply
    8,338.44x = 11,507.46 × 4,802.16
  4. Step 4: Simplify right side
    8,338.44x = 55,260,664.11
  5. Step 5: Solve for x
    x = 55,260,664.11/8,338.44
  6. Step 6: Final answer
    x = 6,627.22

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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.