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Finding the Fourth Proportional to 10,379.90, 14,324.32 and 5,664.29

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Solution

The fourth proportional to 10,379.90, 14,324.32 and 5,664.29 is: 7,816.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,379.90 : 14,324.32 = 5,664.29 : x
  2. Step 2: Convert to fraction form
    10,379.90/14,324.32 = 5,664.29/x
  3. Step 3: Cross multiply
    10,379.90x = 14,324.32 × 5,664.29
  4. Step 4: Simplify right side
    10,379.90x = 81,137,037.99
  5. Step 5: Solve for x
    x = 81,137,037.99/10,379.90
  6. Step 6: Final answer
    x = 7,816.74

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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.