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Finding the Fourth Proportional to 10,578.73, 14,597.11 and 5,863

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Solution

The fourth proportional to 10,578.73, 14,597.11 and 5,863 is: 8,090.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.73 : 14,597.11 = 5,863 : x
  2. Step 2: Convert to fraction form
    10,578.73/14,597.11 = 5,863/x
  3. Step 3: Cross multiply
    10,578.73x = 14,597.11 × 5,863
  4. Step 4: Simplify right side
    10,578.73x = 85,582,855.93
  5. Step 5: Solve for x
    x = 85,582,855.93/10,578.73
  6. Step 6: Final answer
    x = 8,090.09

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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.