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Finding the Fourth Proportional to 10,578.40, 14,599.21 and 5,863.84

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Solution

The fourth proportional to 10,578.40, 14,599.21 and 5,863.84 is: 8,092.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.40 : 14,599.21 = 5,863.84 : x
  2. Step 2: Convert to fraction form
    10,578.40/14,599.21 = 5,863.84/x
  3. Step 3: Cross multiply
    10,578.40x = 14,599.21 × 5,863.84
  4. Step 4: Simplify right side
    10,578.40x = 85,607,358.57
  5. Step 5: Solve for x
    x = 85,607,358.57/10,578.40
  6. Step 6: Final answer
    x = 8,092.66

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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.