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Finding the Fourth Proportional to 10,438.40, 14,404.89 and 5,722.67

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Solution

The fourth proportional to 10,438.40, 14,404.89 and 5,722.67 is: 7,897.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.40 : 14,404.89 = 5,722.67 : x
  2. Step 2: Convert to fraction form
    10,438.40/14,404.89 = 5,722.67/x
  3. Step 3: Cross multiply
    10,438.40x = 14,404.89 × 5,722.67
  4. Step 4: Simplify right side
    10,438.40x = 82,434,431.86
  5. Step 5: Solve for x
    x = 82,434,431.86/10,438.40
  6. Step 6: Final answer
    x = 7,897.23

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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.