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Finding the Fourth Proportional to 10,379.92, 14,324.15 and 5,663.90

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Solution

The fourth proportional to 10,379.92, 14,324.15 and 5,663.90 is: 7,816.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,379.92 : 14,324.15 = 5,663.90 : x
  2. Step 2: Convert to fraction form
    10,379.92/14,324.15 = 5,663.90/x
  3. Step 3: Cross multiply
    10,379.92x = 14,324.15 × 5,663.90
  4. Step 4: Simplify right side
    10,379.92x = 81,130,495.72
  5. Step 5: Solve for x
    x = 81,130,495.72/10,379.92
  6. Step 6: Final answer
    x = 7,816.10

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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.