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Finding the Fourth Proportional to 10,166.90, 15,251.72 and 3,147.50

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Solution

The fourth proportional to 10,166.90, 15,251.72 and 3,147.50 is: 4,721.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,166.90 : 15,251.72 = 3,147.50 : x
  2. Step 2: Convert to fraction form
    10,166.90/15,251.72 = 3,147.50/x
  3. Step 3: Cross multiply
    10,166.90x = 15,251.72 × 3,147.50
  4. Step 4: Simplify right side
    10,166.90x = 48,004,788.70
  5. Step 5: Solve for x
    x = 48,004,788.70/10,166.90
  6. Step 6: Final answer
    x = 4,721.67

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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.