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Finding the Fourth Proportional to 10,317.34, 15,469.13 and 3,742.67

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Solution

The fourth proportional to 10,317.34, 15,469.13 and 3,742.67 is: 5,611.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,317.34 : 15,469.13 = 3,742.67 : x
  2. Step 2: Convert to fraction form
    10,317.34/15,469.13 = 3,742.67/x
  3. Step 3: Cross multiply
    10,317.34x = 15,469.13 × 3,742.67
  4. Step 4: Simplify right side
    10,317.34x = 57,895,848.78
  5. Step 5: Solve for x
    x = 57,895,848.78/10,317.34
  6. Step 6: Final answer
    x = 5,611.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.