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Finding the Fourth Proportional to 10,437.75, 14,404.14 and 5,722.11

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Solution

The fourth proportional to 10,437.75, 14,404.14 and 5,722.11 is: 7,896.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,437.75 : 14,404.14 = 5,722.11 : x
  2. Step 2: Convert to fraction form
    10,437.75/14,404.14 = 5,722.11/x
  3. Step 3: Cross multiply
    10,437.75x = 14,404.14 × 5,722.11
  4. Step 4: Simplify right side
    10,437.75x = 82,422,073.54
  5. Step 5: Solve for x
    x = 82,422,073.54/10,437.75
  6. Step 6: Final answer
    x = 7,896.54

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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.