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Finding the Fourth Proportional to 10,437.22, 14,404.27 and 5,722.41

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Solution

The fourth proportional to 10,437.22, 14,404.27 and 5,722.41 is: 7,897.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,437.22 : 14,404.27 = 5,722.41 : x
  2. Step 2: Convert to fraction form
    10,437.22/14,404.27 = 5,722.41/x
  3. Step 3: Cross multiply
    10,437.22x = 14,404.27 × 5,722.41
  4. Step 4: Simplify right side
    10,437.22x = 82,427,138.69
  5. Step 5: Solve for x
    x = 82,427,138.69/10,437.22
  6. Step 6: Final answer
    x = 7,897.42

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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.