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Finding the Fourth Proportional to 10,448.56, 14,418.84 and 5,733.28

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Solution

The fourth proportional to 10,448.56, 14,418.84 and 5,733.28 is: 7,911.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448.56 : 14,418.84 = 5,733.28 : x
  2. Step 2: Convert to fraction form
    10,448.56/14,418.84 = 5,733.28/x
  3. Step 3: Cross multiply
    10,448.56x = 14,418.84 × 5,733.28
  4. Step 4: Simplify right side
    10,448.56x = 82,667,247.00
  5. Step 5: Solve for x
    x = 82,667,247.00/10,448.56
  6. Step 6: Final answer
    x = 7,911.83

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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.