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Finding the Fourth Proportional to 10,446.13, 14,416.57 and 5,731.33

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Solution

The fourth proportional to 10,446.13, 14,416.57 and 5,731.33 is: 7,909.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.13 : 14,416.57 = 5,731.33 : x
  2. Step 2: Convert to fraction form
    10,446.13/14,416.57 = 5,731.33/x
  3. Step 3: Cross multiply
    10,446.13x = 14,416.57 × 5,731.33
  4. Step 4: Simplify right side
    10,446.13x = 82,626,120.14
  5. Step 5: Solve for x
    x = 82,626,120.14/10,446.13
  6. Step 6: Final answer
    x = 7,909.74

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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.