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Finding the Fourth Proportional to 7,116.50, 10,676.38 and 2,499.50

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Solution

The fourth proportional to 7,116.50, 10,676.38 and 2,499.50 is: 3,749.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.50 : 10,676.38 = 2,499.50 : x
  2. Step 2: Convert to fraction form
    7,116.50/10,676.38 = 2,499.50/x
  3. Step 3: Cross multiply
    7,116.50x = 10,676.38 × 2,499.50
  4. Step 4: Simplify right side
    7,116.50x = 26,685,611.81
  5. Step 5: Solve for x
    x = 26,685,611.81/7,116.50
  6. Step 6: Final answer
    x = 3,749.82

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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.