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Finding the Fourth Proportional to 10,379.62, 14,323.85 and 5,663.90

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Solution

The fourth proportional to 10,379.62, 14,323.85 and 5,663.90 is: 7,816.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,379.62 : 14,323.85 = 5,663.90 : x
  2. Step 2: Convert to fraction form
    10,379.62/14,323.85 = 5,663.90/x
  3. Step 3: Cross multiply
    10,379.62x = 14,323.85 × 5,663.90
  4. Step 4: Simplify right side
    10,379.62x = 81,128,754.08
  5. Step 5: Solve for x
    x = 81,128,754.08/10,379.62
  6. Step 6: Final answer
    x = 7,816.16

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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.