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Finding the Fourth Proportional to 7,530.96, 11,290.96 and 3,149.66

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Solution

The fourth proportional to 7,530.96, 11,290.96 and 3,149.66 is: 4,722.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,530.96 : 11,290.96 = 3,149.66 : x
  2. Step 2: Convert to fraction form
    7,530.96/11,290.96 = 3,149.66/x
  3. Step 3: Cross multiply
    7,530.96x = 11,290.96 × 3,149.66
  4. Step 4: Simplify right side
    7,530.96x = 35,562,685.07
  5. Step 5: Solve for x
    x = 35,562,685.07/7,530.96
  6. Step 6: Final answer
    x = 4,722.20

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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.