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Finding the Fourth Proportional to 10,543.44, 15,817.90 and 3,147.90

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Solution

The fourth proportional to 10,543.44, 15,817.90 and 3,147.90 is: 4,722.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,543.44 : 15,817.90 = 3,147.90 : x
  2. Step 2: Convert to fraction form
    10,543.44/15,817.90 = 3,147.90/x
  3. Step 3: Cross multiply
    10,543.44x = 15,817.90 × 3,147.90
  4. Step 4: Simplify right side
    10,543.44x = 49,793,167.41
  5. Step 5: Solve for x
    x = 49,793,167.41/10,543.44
  6. Step 6: Final answer
    x = 4,722.67

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Why These Related Problems?

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