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Finding the Fourth Proportional to 7,744.68, 11,617.02 and 7,350.26

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Solution

The fourth proportional to 7,744.68, 11,617.02 and 7,350.26 is: 11,025.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.68 : 11,617.02 = 7,350.26 : x
  2. Step 2: Convert to fraction form
    7,744.68/11,617.02 = 7,350.26/x
  3. Step 3: Cross multiply
    7,744.68x = 11,617.02 × 7,350.26
  4. Step 4: Simplify right side
    7,744.68x = 85,388,117.43
  5. Step 5: Solve for x
    x = 85,388,117.43/7,744.68
  6. Step 6: Final answer
    x = 11,025.39

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Similar ratio
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1.5x scale

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.