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Finding the Fourth Proportional to 10,469.31, 15,682.76 and 4,838.99

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Solution

The fourth proportional to 10,469.31, 15,682.76 and 4,838.99 is: 7,248.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.31 : 15,682.76 = 4,838.99 : x
  2. Step 2: Convert to fraction form
    10,469.31/15,682.76 = 4,838.99/x
  3. Step 3: Cross multiply
    10,469.31x = 15,682.76 × 4,838.99
  4. Step 4: Simplify right side
    10,469.31x = 75,888,616.20
  5. Step 5: Solve for x
    x = 75,888,616.20/10,469.31
  6. Step 6: Final answer
    x = 7,248.67

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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.