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Finding the Fourth Proportional to 10,375.08, 14,318.81 and 5,776.32

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Solution

The fourth proportional to 10,375.08, 14,318.81 and 5,776.32 is: 7,971.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,375.08 : 14,318.81 = 5,776.32 : x
  2. Step 2: Convert to fraction form
    10,375.08/14,318.81 = 5,776.32/x
  3. Step 3: Cross multiply
    10,375.08x = 14,318.81 × 5,776.32
  4. Step 4: Simplify right side
    10,375.08x = 82,709,999.70
  5. Step 5: Solve for x
    x = 82,709,999.70/10,375.08
  6. Step 6: Final answer
    x = 7,971.99

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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.