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Finding the Fourth Proportional to 7,090.27, 10,624.94 and 6,311.76

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Solution

The fourth proportional to 7,090.27, 10,624.94 and 6,311.76 is: 9,458.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.27 : 10,624.94 = 6,311.76 : x
  2. Step 2: Convert to fraction form
    7,090.27/10,624.94 = 6,311.76/x
  3. Step 3: Cross multiply
    7,090.27x = 10,624.94 × 6,311.76
  4. Step 4: Simplify right side
    7,090.27x = 67,062,023.56
  5. Step 5: Solve for x
    x = 67,062,023.56/7,090.27
  6. Step 6: Final answer
    x = 9,458.32

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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.