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Finding the Fourth Proportional to 8,384.93, 11,570.96 and 4,608.09

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Solution

The fourth proportional to 8,384.93, 11,570.96 and 4,608.09 is: 6,359.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.93 : 11,570.96 = 4,608.09 : x
  2. Step 2: Convert to fraction form
    8,384.93/11,570.96 = 4,608.09/x
  3. Step 3: Cross multiply
    8,384.93x = 11,570.96 × 4,608.09
  4. Step 4: Simplify right side
    8,384.93x = 53,320,043.07
  5. Step 5: Solve for x
    x = 53,320,043.07/8,384.93
  6. Step 6: Final answer
    x = 6,359.04

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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.