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Finding the Fourth Proportional to 10,573.35, 14,591.22 and 5,857.65

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Solution

The fourth proportional to 10,573.35, 14,591.22 and 5,857.65 is: 8,083.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.35 : 14,591.22 = 5,857.65 : x
  2. Step 2: Convert to fraction form
    10,573.35/14,591.22 = 5,857.65/x
  3. Step 3: Cross multiply
    10,573.35x = 14,591.22 × 5,857.65
  4. Step 4: Simplify right side
    10,573.35x = 85,470,259.83
  5. Step 5: Solve for x
    x = 85,470,259.83/10,573.35
  6. Step 6: Final answer
    x = 8,083.56

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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.