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Finding the Fourth Proportional to 8,338.31, 11,509.76 and 4,802.93

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Solution

The fourth proportional to 8,338.31, 11,509.76 and 4,802.93 is: 6,629.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,338.31 : 11,509.76 = 4,802.93 : x
  2. Step 2: Convert to fraction form
    8,338.31/11,509.76 = 4,802.93/x
  3. Step 3: Cross multiply
    8,338.31x = 11,509.76 × 4,802.93
  4. Step 4: Simplify right side
    8,338.31x = 55,280,571.60
  5. Step 5: Solve for x
    x = 55,280,571.60/8,338.31
  6. Step 6: Final answer
    x = 6,629.71

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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.