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Finding the Fourth Proportional to 10,578.89, 14,597.87 and 5,863.07

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Solution

The fourth proportional to 10,578.89, 14,597.87 and 5,863.07 is: 8,090.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.89 : 14,597.87 = 5,863.07 : x
  2. Step 2: Convert to fraction form
    10,578.89/14,597.87 = 5,863.07/x
  3. Step 3: Cross multiply
    10,578.89x = 14,597.87 × 5,863.07
  4. Step 4: Simplify right side
    10,578.89x = 85,588,231.36
  5. Step 5: Solve for x
    x = 85,588,231.36/10,578.89
  6. Step 6: Final answer
    x = 8,090.48

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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.