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Finding the Fourth Proportional to 10,173.32, 14,039.04 and 5,697.06

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Solution

The fourth proportional to 10,173.32, 14,039.04 and 5,697.06 is: 7,861.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,173.32 : 14,039.04 = 5,697.06 : x
  2. Step 2: Convert to fraction form
    10,173.32/14,039.04 = 5,697.06/x
  3. Step 3: Cross multiply
    10,173.32x = 14,039.04 × 5,697.06
  4. Step 4: Simplify right side
    10,173.32x = 79,981,253.22
  5. Step 5: Solve for x
    x = 79,981,253.22/10,173.32
  6. Step 6: Final answer
    x = 7,861.86

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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.