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Finding the Fourth Proportional to 10,578.84, 14,599.32 and 5,863.14

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Solution

The fourth proportional to 10,578.84, 14,599.32 and 5,863.14 is: 8,091.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.84 : 14,599.32 = 5,863.14 : x
  2. Step 2: Convert to fraction form
    10,578.84/14,599.32 = 5,863.14/x
  3. Step 3: Cross multiply
    10,578.84x = 14,599.32 × 5,863.14
  4. Step 4: Simplify right side
    10,578.84x = 85,597,857.06
  5. Step 5: Solve for x
    x = 85,597,857.06/10,578.84
  6. Step 6: Final answer
    x = 8,091.42

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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.