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Finding the Fourth Proportional to 10,573.75, 14,591.19 and 5,857.66

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Solution

The fourth proportional to 10,573.75, 14,591.19 and 5,857.66 is: 8,083.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.75 : 14,591.19 = 5,857.66 : x
  2. Step 2: Convert to fraction form
    10,573.75/14,591.19 = 5,857.66/x
  3. Step 3: Cross multiply
    10,573.75x = 14,591.19 × 5,857.66
  4. Step 4: Simplify right side
    10,573.75x = 85,470,230.02
  5. Step 5: Solve for x
    x = 85,470,230.02/10,573.75
  6. Step 6: Final answer
    x = 8,083.25

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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.