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Finding the Fourth Proportional to 7,750.92, 11,626.50 and 7,357.08

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Solution

The fourth proportional to 7,750.92, 11,626.50 and 7,357.08 is: 11,035.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.92 : 11,626.50 = 7,357.08 : x
  2. Step 2: Convert to fraction form
    7,750.92/11,626.50 = 7,357.08/x
  3. Step 3: Cross multiply
    7,750.92x = 11,626.50 × 7,357.08
  4. Step 4: Simplify right side
    7,750.92x = 85,537,090.62
  5. Step 5: Solve for x
    x = 85,537,090.62/7,750.92
  6. Step 6: Final answer
    x = 11,035.73

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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.