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Finding the Fourth Proportional to 10,578.97, 14,598.79 and 5,863.29

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Solution

The fourth proportional to 10,578.97, 14,598.79 and 5,863.29 is: 8,091.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.97 : 14,598.79 = 5,863.29 : x
  2. Step 2: Convert to fraction form
    10,578.97/14,598.79 = 5,863.29/x
  3. Step 3: Cross multiply
    10,578.97x = 14,598.79 × 5,863.29
  4. Step 4: Simplify right side
    10,578.97x = 85,596,939.42
  5. Step 5: Solve for x
    x = 85,596,939.42/10,578.97
  6. Step 6: Final answer
    x = 8,091.24

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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.